102101111111100 has 72 divisors (see below), whose sum is σ = 300986369858160. Its totient is φ = 26713246676480.

The previous prime is 102101111111029. The next prime is 102101111111137. The reversal of 102101111111100 is 1111111101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210710865 + ... + 3210742664.

It is an arithmetic number, because the mean of its divisors is an integer number (4180366248030).

Almost surely, 2^{102101111111100} is an apocalyptic number.

102101111111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101111111100 is an abundant number, since it is smaller than the sum of its proper divisors (198885258747060).

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

102101111111100 is a wasteful number, since it uses less digits than its factorization.

102101111111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421453599 (or 6421453592 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 102101111111100 its reverse (1111111101201), we get a palindrome (103212222212301).

The spelling of 102101111111100 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred".