10102100112012 has 12 divisors (see below), whose sum is σ = 23571566928056. Its totient is φ = 3367366704000.

The previous prime is 10102100111989. The next prime is 10102100112031. The reversal of 10102100112012 is 21021100120101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10102100112012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 841841676001 = 10102100112012 / (1 + 0 + 1 + 0 + 2 + 1 + 0 + 0 + 1 + 1 + 2 + 0 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420920837989 + ... + 420920838012.

Almost surely, 2^{10102100112012} is an apocalyptic number.

10102100112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102100112012 is an abundant number, since it is smaller than the sum of its proper divisors (13469466816044).

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

10102100112012 is a wasteful number, since it uses less digits than its factorization.

10102100112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841841676008 (or 841841676006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102100112012 its reverse (21021100120101), we get a palindrome (31123200232113).

The spelling of 10102100112012 in words is "ten trillion, one hundred two billion, one hundred million, one hundred twelve thousand, twelve".