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10121210000200 = 23521321377182101
BaseRepresentation
bin1001001101001000011100…
…1000000111001101001000
31022211120121112020020120001
42103102013020013031020
52311311214230001300
633305341504012344
72063143006345135
oct223220710071510
938746545206501
1010121210000200
113252421205202
1211756849010b4
1358556cc28a30
1426dc2504958c
1512842125c16a
hex93487207348

10121210000200 has 96 divisors (see below), whose sum is σ = 25343277379560. Its totient is φ = 3736866816000.

The previous prime is 10121210000191. The next prime is 10121210000243. The reversal of 10121210000200 is 200001212101.

It can be written as a sum of positive squares in 12 ways, for example, as 164496758724 + 9956713241476 = 405582^2 + 3155426^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55489150 + ... + 55671250.

Almost surely, 210121210000200 is an apocalyptic number.

10121210000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121210000200 is an abundant number, since it is smaller than the sum of its proper divisors (15222067379360).

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

10121210000200 is a wasteful number, since it uses less digits than its factorization.

10121210000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203507 (or 203498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121210000200 its reverse (200001212101), we get a palindrome (10321211212301).

The spelling of 10121210000200 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 21377 42754 85508 106885 171016 182101 213770 277901 364202 427540 534425 555802 728404 855080 910505 1068850 1111604 1389505 1456808 1821010 2137700 2223208 2367313 2779010 3642020 4275400 4552525 4734626 5558020 6947525 7284040 9105050 9469252 11116040 11836565 13895050 18210100 18938504 23673130 27790100 36420200 47346260 55580200 59182825 94692520 118365650 236731300 473462600 3892773077 7785546154 15571092308 19463865385 31142184616 38927730770 50606050001 77855461540 97319326925 101212100002 155710923080 194638653850 202424200004 253030250005 389277307700 404848400008 506060500010 778554615400 1012121000020 1265151250025 2024242000040 2530302500050 5060605000100 10121210000200