102212212332100 has 72 divisors (see below), whose sum is σ = 238889746871048. Its totient is φ = 37735522099200.

The previous prime is 102212212332023. The next prime is 102212212332107. The reversal of 102212212332100 is 1233212212201.

It can be written as a sum of positive squares in 12 ways, for example, as 45397733230656 + 56814479101444 = 6737784^2 + 7537538^2 .

It is not an unprimeable number, because it can be changed into a prime (102212212332107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6683782 + ... + 15782818.

Almost surely, 2^{102212212332100} is an apocalyptic number.

102212212332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212212332100 is an abundant number, since it is smaller than the sum of its proper divisors (136677534538948).

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

102212212332100 is a wasteful number, since it uses less digits than its factorization.

102212212332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107705 (or 9107698 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102212212332100 its reverse (1233212212201), we get a palindrome (103445424544301).

The spelling of 102212212332100 in words is "one hundred two trillion, two hundred twelve billion, two hundred twelve million, three hundred thirty-two thousand, one hundred".