102212211020200 has 96 divisors (see below), whose sum is σ = 244390102184160. Its totient is φ = 39738578796800.

The previous prime is 102212211020173. The next prime is 102212211020221. The reversal of 102212211020200 is 2020112212201.

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, 43924966 + ... + 46193365.

It is an arithmetic number, because the mean of its divisors is an integer number (2545730231085).

Almost surely, 2^{102212211020200} is an apocalyptic number.

102212211020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212211020200 is an abundant number, since it is smaller than the sum of its proper divisors (142177891163960).

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

102212211020200 is a wasteful number, since it uses less digits than its factorization.

102212211020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90118507 (or 90118498 counting only the distinct ones).

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

Adding to 102212211020200 its reverse (2020112212201), we get a palindrome (104232323232401).

The spelling of 102212211020200 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, two hundred".