102103122032100 has 144 divisors (see below), whose sum is σ = 375134433609600. Its totient is φ = 23337856460160.

The previous prime is 102103122031997. The next prime is 102103122032123. The reversal of 102103122032100 is 1230221301201.

102103122032100 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 312 + 20 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701121895 + ... + 2701159694.

It is an arithmetic number, because the mean of its divisors is an integer number (2605100233400).

Almost surely, 2^{102103122032100} is an apocalyptic number.

102103122032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102103122032100 is an abundant number, since it is smaller than the sum of its proper divisors (273031311577500).

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

102103122032100 is a wasteful number, since it uses less digits than its factorization.

102103122032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402281619 (or 5402281606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102103122032100 its reverse (1230221301201), we get a palindrome (103333343333301).

The spelling of 102103122032100 in words is "one hundred two trillion, one hundred three billion, one hundred twenty-two million, thirty-two thousand, one hundred".