102100201000112 has 40 divisors (see below), whose sum is σ = 226087009639200. Its totient is φ = 43755681940992.

The previous prime is 102100201000087. The next prime is 102100201000129. The reversal of 102100201000112 is 211000102001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100201000093 and 102100201000102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12930437 + ... + 19271652.

It is an arithmetic number, because the mean of its divisors is an integer number (5652175240980).

Almost surely, 2^{102100201000112} is an apocalyptic number.

It is an amenable number.

102100201000112 is an abundant number, since it is smaller than the sum of its proper divisors (123986808639088).

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

102100201000112 is a wasteful number, since it uses less digits than its factorization.

102100201000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32230413 (or 32230407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100201000112 its reverse (211000102001201), we get a palindrome (313100303001313).

The spelling of 102100201000112 in words is "one hundred two trillion, one hundred billion, two hundred one million, one hundred twelve", and thus it is an aban number.