102022221220200 has 288 divisors, whose sum is σ = 374481568431360. Its totient is φ = 24779590502400.

The previous prime is 102022221220193. The next prime is 102022221220237. The reversal of 102022221220200 is 2022122220201.

102022221220200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 22 + 221 + 220 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52826554 + ... + 54723753.

It is an arithmetic number, because the mean of its divisors is an integer number (1300283223720).

Almost surely, 2^{102022221220200} is an apocalyptic number.

102022221220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022221220200 is an abundant number, since it is smaller than the sum of its proper divisors (272459347211160).

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

102022221220200 is a wasteful number, since it uses less digits than its factorization.

102022221220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107550377 (or 107550365 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102022221220200 its reverse (2022122220201), we get a palindrome (104044343440401).

The spelling of 102022221220200 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".