102102120202100 has 36 divisors (see below), whose sum is σ = 221562178594764. Its totient is φ = 40840741582080.

The previous prime is 102102120202097. The next prime is 102102120202153. The reversal of 102102120202100 is 1202021201201.

It can be written as a sum of positive squares in 6 ways, for example, as 8738716401424 + 93363403800676 = 2956132^2 + 9662474^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45354734 + ... + 47552666.

Almost surely, 2^{102102120202100} is an apocalyptic number.

102102120202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102120202100 is an abundant number, since it is smaller than the sum of its proper divisors (119460058392664).

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

102102120202100 is a wasteful number, since it uses less digits than its factorization.

102102120202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662484 (or 2662477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102120202100 its reverse (1202021201201), we get a palindrome (103304141403301).

The spelling of 102102120202100 in words is "one hundred two trillion, one hundred two billion, one hundred twenty million, two hundred two thousand, one hundred".