102021212122200 has 288 divisors, whose sum is σ = 405069444655200. Its totient is φ = 22515026042880.

The previous prime is 102021212122187. The next prime is 102021212122231. The reversal of 102021212122200 is 2221212120201.

It is a happy number.

102021212122200 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 1 + 212 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139236697 + ... + 139967496.

It is an arithmetic number, because the mean of its divisors is an integer number (1406491127275).

Almost surely, 2^{102021212122200} is an apocalyptic number.

102021212122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021212122200 is an abundant number, since it is smaller than the sum of its proper divisors (303048232533000).

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

102021212122200 is a wasteful number, since it uses less digits than its factorization.

102021212122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279204251 (or 279204239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021212122200 its reverse (2221212120201), we get a palindrome (104242424242401).

The spelling of 102021212122200 in words is "one hundred two trillion, twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".