102211111011200 has 96 divisors (see below), whose sum is σ = 257865585233760. Its totient is φ = 40014562549760.

The previous prime is 102211111011169. The next prime is 102211111011211. The reversal of 102211111011200 is 2110111112201.

It is a super-2 number, since 2×102211111011200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339647177 + ... + 339947976.

It is an arithmetic number, because the mean of its divisors is an integer number (2686099846185).

Almost surely, 2^{102211111011200} is an apocalyptic number.

102211111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211111011200 is an abundant number, since it is smaller than the sum of its proper divisors (155654474222560).

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

102211111011200 is an equidigital number, since it uses as much as digits as its factorization.

102211111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679595224 (or 679595207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102211111011200 its reverse (2110111112201), we get a palindrome (104321222123401).

The spelling of 102211111011200 in words is "one hundred two trillion, two hundred eleven billion, one hundred eleven million, eleven thousand, two hundred".