102111221002100 has 72 divisors (see below), whose sum is σ = 222554067299928. Its totient is φ = 40665219840000.

The previous prime is 102111221002099. The next prime is 102111221002129. The reversal of 102111221002100 is 1200122111201.

It can be written as a sum of positive squares in 12 ways, for example, as 22257051836644 + 79854169165456 = 4717738^2 + 8936116^2 .

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, 244464632 + ... + 244881968.

It is an arithmetic number, because the mean of its divisors is an integer number (3091028712499).

Almost surely, 2^{102111221002100} is an apocalyptic number.

102111221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111221002100 is an abundant number, since it is smaller than the sum of its proper divisors (120442846297828).

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

102111221002100 is a wasteful number, since it uses less digits than its factorization.

102111221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428085 (or 428078 counting only the distinct ones).

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

Adding to 102111221002100 its reverse (1200122111201), we get a palindrome (103311343113301).

The spelling of 102111221002100 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, two thousand, one hundred".