102120211122200 has 192 divisors, whose sum is σ = 251594047620000. Its totient is φ = 38440022999040.

The previous prime is 102120211122179. The next prime is 102120211122343. The reversal of 102120211122200 is 2221112021201.

It is a congruent number.

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, 2107763576 + ... + 2107812024.

Almost surely, 2^{102120211122200} is an apocalyptic number.

102120211122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120211122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125797023810000).

102120211122200 is an abundant number, since it is smaller than the sum of its proper divisors (149473836497800).

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

102120211122200 is a wasteful number, since it uses less digits than its factorization.

102120211122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52174 (or 52165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102120211122200 its reverse (2221112021201), we get a palindrome (104341323143401).

The spelling of 102120211122200 in words is "one hundred two trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".