102112110002210 has 384 divisors, whose sum is σ = 237195693446400. Its totient is φ = 31294012538880.

The previous prime is 102112110002117. The next prime is 102112110002251. The reversal of 102112110002210 is 12200011211201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43656309221 + ... + 43656311559.

It is an arithmetic number, because the mean of its divisors is an integer number (617697118350).

Almost surely, 2^{102112110002210} is an apocalyptic number.

102112110002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112110002210 is an abundant number, since it is smaller than the sum of its proper divisors (135083583444190).

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

102112110002210 is a wasteful number, since it uses less digits than its factorization.

102112110002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112110002210 its reverse (12200011211201), we get a palindrome (114312121213411).

The spelling of 102112110002210 in words is "one hundred two trillion, one hundred twelve billion, one hundred ten million, two thousand, two hundred ten".