102122221212200 has 96 divisors (see below), whose sum is σ = 271366095624960. Its totient is φ = 35011685894400.

The previous prime is 102122221212191. The next prime is 102122221212289. The reversal of 102122221212200 is 2212122221201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 28242374 + ... + 31652426.

It is an arithmetic number, because the mean of its divisors is an integer number (2826730162760).

Almost surely, 2^{102122221212200} is an apocalyptic number.

102122221212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122221212200 is an abundant number, since it is smaller than the sum of its proper divisors (169243874412760).

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

102122221212200 is a wasteful number, since it uses less digits than its factorization.

102122221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431467 (or 3431458 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102122221212200 its reverse (2212122221201), we get a palindrome (104334343433401).

The spelling of 102122221212200 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".