102002200120200 has 96 divisors (see below), whose sum is σ = 316209164443200. Its totient is φ = 27200385058560.

The previous prime is 102002200120193. The next prime is 102002200120267. The reversal of 102002200120200 is 2021002200201.

It is a super-2 number, since 2×102002200120200² (a number of 29 digits) contains 22 as substring.

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

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, 91620486 + ... + 92727114.

It is an arithmetic number, because the mean of its divisors is an integer number (3293845462950).

Almost surely, 2^{102002200120200} is an apocalyptic number.

102002200120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002200120200 is an abundant number, since it is smaller than the sum of its proper divisors (214206964323000).

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

102002200120200 is a wasteful number, since it uses less digits than its factorization.

102002200120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260271 (or 1260262 counting only the distinct ones).

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

Adding to 102002200120200 its reverse (2021002200201), we get a palindrome (104023202320401).

The spelling of 102002200120200 in words is "one hundred two trillion, two billion, two hundred million, one hundred twenty thousand, two hundred".