102110223112200 has 144 divisors (see below), whose sum is σ = 342925713732420. Its totient is φ = 27228952312320.

The previous prime is 102110223112181. The next prime is 102110223112201. The reversal of 102110223112200 is 2211322011201.

102110223112200 is a `hidden beast` number, since 1 + 0 + 2 + 110 + 22 + 311 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6112593637956 + 95997629474244 = 2472366^2 + 9797838^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102110223112201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119549854 + ... + 120400946.

Almost surely, 2^{102110223112200} is an apocalyptic number.

102110223112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110223112200 is an abundant number, since it is smaller than the sum of its proper divisors (240815490620220).

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

102110223112200 is a wasteful number, since it uses less digits than its factorization.

102110223112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917768 (or 917756 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102110223112200 its reverse (2211322011201), we get a palindrome (104321545123401).

The spelling of 102110223112200 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-three million, one hundred twelve thousand, two hundred".