102021121112200 has 48 divisors (see below), whose sum is σ = 237235439704500. Its totient is φ = 40802197585920.

The previous prime is 102021121112177. The next prime is 102021121112201. The reversal of 102021121112200 is 2211121120201.

It can be written as a sum of positive squares in 6 ways, for example, as 17936732691684 + 84084388420516 = 4235178^2 + 9169754^2 .

It is not an unprimeable number, because it can be changed into a prime (102021121112201) 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 11 ways as a sum of consecutive naturals, for example, 37758805 + ... + 40370404.

Almost surely, 2^{102021121112200} is an apocalyptic number.

102021121112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021121112200 is an abundant number, since it is smaller than the sum of its proper divisors (135214318592300).

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

102021121112200 is a wasteful number, since it uses less digits than its factorization.

102021121112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78135754 (or 78135745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102021121112200 its reverse (2211121120201), we get a palindrome (104232242232401).

The spelling of 102021121112200 in words is "one hundred two trillion, twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred".