102200021002200 has 768 divisors, whose sum is σ = 370236303360000. Its totient is φ = 23057894246400.

The previous prime is 102200021002171. The next prime is 102200021002223. The reversal of 102200021002200 is 2200120002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13014133474 + ... + 13014141326.

It is an arithmetic number, because the mean of its divisors is an integer number (482078520000).

Almost surely, 2^{102200021002200} is an apocalyptic number.

102200021002200 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 102200021002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185118151680000).

102200021002200 is an abundant number, since it is smaller than the sum of its proper divisors (268036282357800).

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

102200021002200 is a wasteful number, since it uses less digits than its factorization.

102200021002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102200021002200 its reverse (2200120002201), we get a palindrome (104400141004401).

Subtracting from 102200021002200 its reverse (2200120002201), we obtain a palindrome (99999900999999).

The spelling of 102200021002200 in words is "one hundred two trillion, two hundred billion, twenty-one million, two thousand, two hundred".