102001101111112 has 64 divisors (see below), whose sum is σ = 230323221072000. Its totient is φ = 41369782012416.

The previous prime is 102001101111101. The next prime is 102001101111149. The reversal of 102001101111112 is 211111101100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001101111092 and 102001101111101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50158687 + ... + 52152622.

It is an arithmetic number, because the mean of its divisors is an integer number (3598800329250).

Almost surely, 2^{102001101111112} is an apocalyptic number.

It is an amenable number.

102001101111112 is an abundant number, since it is smaller than the sum of its proper divisors (128322119960888).

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

102001101111112 is a wasteful number, since it uses less digits than its factorization.

102001101111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102312278 (or 102312274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102001101111112 its reverse (211111101100201), we get a palindrome (313112202211313).

The spelling of 102001101111112 in words is "one hundred two trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred twelve".