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102100110101000 = 23531125736116063
BaseRepresentation
bin10111001101110000001000…
…110010110100101000001000
3111101111200020012222102200022
4113031300020302310220020
5101340302011141213000
61001052050522400012
730335326623361064
oct2715601062645010
9441450205872608
10102100110101000
112a594460453620
12b54b828360008
1344c7ccac5906b
141b2d9591c2aa4
15bc0cd14d4585
hex5cdc08cb4a08

102100110101000 has 128 divisors (see below), whose sum is σ = 261647881896960. Its totient is φ = 36982847488000.

The previous prime is 102100110100991. The next prime is 102100110101021. The reversal of 102100110101000 is 101011001201.

It is a happy number.

102100110101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15231032 + ... + 20885031.

It is an arithmetic number, because the mean of its divisors is an integer number (2044124077320).

Almost surely, 2102100110101000 is an apocalyptic number.

102100110101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100110101000 is an abundant number, since it is smaller than the sum of its proper divisors (159547771795960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102100110101000 is a wasteful number, since it uses less digits than its factorization.

102100110101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36116352 (or 36116338 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102100110101000 its reverse (101011001201), we get a palindrome (102201121102201).

The spelling of 102100110101000 in words is "one hundred two trillion, one hundred billion, one hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 257 275 440 500 514 550 1000 1028 1100 1285 1375 2056 2200 2570 2750 2827 5140 5500 5654 6425 10280 11000 11308 12850 14135 22616 25700 28270 32125 51400 56540 64250 70675 113080 128500 141350 257000 282700 353375 565400 706750 1413500 2827000 36116063 72232126 144464252 180580315 288928504 361160630 397276693 722321260 794553386 902901575 1444642520 1589106772 1805803150 1986383465 3178213544 3611606300 3972766930 4514507875 7223212600 7945533860 9029015750 9281828191 9931917325 15891067720 18058031500 18563656382 19863834650 36116063000 37127312764 39727669300 46409140955 49659586625 74254625528 79455338600 92818281910 99319173250 102100110101 185636563820 198638346500 204200220202 232045704775 371273127640 397276693000 408400440404 464091409550 510500550505 816800880808 928182819100 1021001101010 1160228523875 1856365638200 2042002202020 2320457047750 2552502752525 4084004404040 4640914095500 5105005505050 9281828191000 10210011010100 12762513762625 20420022020200 25525027525250 51050055050500 102100110101000