102002210102112 has 96 divisors (see below), whose sum is σ = 280783127328480. Its totient is φ = 32378594734080.

The previous prime is 102002210102071. The next prime is 102002210102123. The reversal of 102002210102112 is 211201012200201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102002210102091 and 102002210102100.

It is a congruent number.

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, 250746939 + ... + 251153402.

It is an arithmetic number, because the mean of its divisors is an integer number (2924824243005).

Almost surely, 2^{102002210102112} is an apocalyptic number.

102002210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002210102112 is an abundant number, since it is smaller than the sum of its proper divisors (178780917226368).

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

102002210102112 is a wasteful number, since it uses less digits than its factorization.

102002210102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501900456 (or 501900448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102002210102112 its reverse (211201012200201), we get a palindrome (313203222302313).

The spelling of 102002210102112 in words is "one hundred two trillion, two billion, two hundred ten million, one hundred two thousand, one hundred twelve".