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102021212010 = 2352310112711527
BaseRepresentation
bin101111100000011110…
…0000010011101101010
3100202100000220112212210
41133000330002131222
53132414412241020
6114511244345550
710241115664614
oct1370074023552
9322300815783
10102021212010
113a2a3350653
12179328452b6
13980b4a2a93
144d1b67bdb4
1529c18dc3e0
hex17c0f0276a

102021212010 has 128 divisors (see below), whose sum is σ = 260080533504. Its totient is φ = 25560057600.

The previous prime is 102021212003. The next prime is 102021212011. The reversal of 102021212010 is 10212120201.

It is not an unprimeable number, because it can be changed into a prime (102021212011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8844867 + ... + 8856393.

It is an arithmetic number, because the mean of its divisors is an integer number (2031879168).

Almost surely, 2102021212010 is an apocalyptic number.

102021212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130040266752).

102021212010 is an abundant number, since it is smaller than the sum of its proper divisors (158059321494).

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

102021212010 is a wasteful number, since it uses less digits than its factorization.

102021212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102021212010 its reverse (10212120201), we get a palindrome (112233332211).

The spelling of 102021212010 in words is "one hundred two billion, twenty-one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 127 138 202 230 254 303 345 381 505 606 635 690 762 1010 1270 1515 1905 2323 2921 3030 3810 4646 5842 6969 8763 11527 11615 12827 13938 14605 17526 23054 23230 25654 29210 34581 34845 38481 43815 57635 64135 69162 69690 76962 87630 115270 128270 172905 192405 265121 295021 345810 384810 530242 590042 795363 885063 1164227 1325605 1463929 1475105 1590726 1770126 2328454 2651210 2927858 2950210 3492681 3976815 4391787 4425315 5821135 6985362 7319645 7953630 8783574 8850630 11642270 14639290 17463405 21958935 26777221 33670367 34926810 43917870 53554442 67340734 80331663 101011101 133886105 147856829 160663326 168351835 202022202 267772210 295713658 336703670 401658315 443570487 505055505 739284145 803316630 887140974 1010111010 1478568290 2217852435 3400707067 4435704870 6801414134 10202121201 17003535335 20404242402 34007070670 51010606005 102021212010