102101110102112 has 24 divisors (see below), whose sum is σ = 219285338742792. Its totient is φ = 46409595500800.

The previous prime is 102101110102099. The next prime is 102101110102163. The reversal of 102101110102112 is 211201011101201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145029985589 + ... + 145029986292.

It is an arithmetic number, because the mean of its divisors is an integer number (9136889114283).

Almost surely, 2^{102101110102112} is an apocalyptic number.

It is an amenable number.

102101110102112 is an abundant number, since it is smaller than the sum of its proper divisors (117184228640680).

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

102101110102112 is a wasteful number, since it uses less digits than its factorization.

102101110102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290059971902 (or 290059971894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101110102112 its reverse (211201011101201), we get a palindrome (313302121203313).

The spelling of 102101110102112 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred two thousand, one hundred twelve".