102211111212200 has 96 divisors (see below), whose sum is σ = 251623459532160. Its totient is φ = 38478903168000.

The previous prime is 102211111212181. The next prime is 102211111212209. The reversal of 102211111212200 is 2212111112201.

102211111212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102211111212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (102211111212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278790209 + ... + 279156591.

It is an arithmetic number, because the mean of its divisors is an integer number (2621077703460).

Almost surely, 2^{102211111212200} is an apocalyptic number.

102211111212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211111212200 is an abundant number, since it is smaller than the sum of its proper divisors (149412348319960).

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

102211111212200 is a wasteful number, since it uses less digits than its factorization.

102211111212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448467 (or 448458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102211111212200 its reverse (2212111112201), we get a palindrome (104423222324401).

Subtracting from 102211111212200 its reverse (2212111112201), we obtain a palindrome (99999000099999).

The spelling of 102211111212200 in words is "one hundred two trillion, two hundred eleven billion, one hundred eleven million, two hundred twelve thousand, two hundred".