102120202221100 has 72 divisors (see below), whose sum is σ = 255765607640928. Its totient is φ = 34665980928000.

The previous prime is 102120202221071. The next prime is 102120202221133. The reversal of 102120202221100 is 1122202021201.

It is a happy 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, 722137237 + ... + 722278636.

It is an arithmetic number, because the mean of its divisors is an integer number (3552300106124).

Almost surely, 2^{102120202221100} is an apocalyptic number.

102120202221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120202221100 is an abundant number, since it is smaller than the sum of its proper divisors (153645405419828).

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

102120202221100 is a wasteful number, since it uses less digits than its factorization.

102120202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444415995 (or 1444415988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120202221100 its reverse (1122202021201), we get a palindrome (103242404242301).

The spelling of 102120202221100 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, two hundred twenty-one thousand, one hundred".