102210011112200 has 96 divisors (see below), whose sum is σ = 246150734128200. Its totient is φ = 39423143208960.

The previous prime is 102210011112193. The next prime is 102210011112221. The reversal of 102210011112200 is 2211110012201.

It can be written as a sum of positive squares in 12 ways, for example, as 4171536644356 + 98038474467844 = 2042434^2 + 9901438^2 .

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, 6915317 + ... + 15882116.

Almost surely, 2^{102210011112200} is an apocalyptic number.

102210011112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210011112200 is an abundant number, since it is smaller than the sum of its proper divisors (143940723016000).

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

102210011112200 is a wasteful number, since it uses less digits than its factorization.

102210011112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22798251 (or 22798242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102210011112200 its reverse (2211110012201), we get a palindrome (104421121124401).

The spelling of 102210011112200 in words is "one hundred two trillion, two hundred ten billion, eleven million, one hundred twelve thousand, two hundred".