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10101012100 = 2252313258391
BaseRepresentation
bin10010110100001000…
…10011011010000100
3222001221211120200021
421122010103122010
5131141324341400
64350151424524
7505212120604
oct113204233204
928057746607
1010101012100
114313837993
121b5a985144
13c4c8c684a
146bb738c04
153e1bb271a
hex25a113684

10101012100 has 36 divisors (see below), whose sum is σ = 22626274048. Its totient is φ = 3910068000.

The previous prime is 10101012083. The next prime is 10101012107. The reversal of 10101012100 is 121010101.

It is not an unprimeable number, because it can be changed into a prime (10101012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626096 + ... + 1632295.

Almost surely, 210101012100 is an apocalyptic number.

10101012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101012100 is an abundant number, since it is smaller than the sum of its proper divisors (12525261948).

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

10101012100 is a wasteful number, since it uses less digits than its factorization.

10101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258436 (or 3258429 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10101012100 its reverse (121010101), we get a palindrome (10222022201).

The spelling of 10101012100 in words is "ten billion, one hundred one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3258391 6516782 13033564 16291955 32583910 65167820 81459775 101010121 162919550 202020242 325839100 404040484 505050605 1010101210 2020202420 2525253025 5050506050 10101012100