102211122100112 has 20 divisors (see below), whose sum is σ = 204862809382620. Its totient is φ = 49343300323968.

The previous prime is 102211122100099. The next prime is 102211122100121. The reversal of 102211122100112 is 211001221112201.

It can be written as a sum of positive squares in 2 ways, for example, as 57892863517696 + 44318258582416 = 7608736^2 + 6657196^2 .

It is a super-2 number, since 2×102211122100112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110141294903 + ... + 110141295830.

It is an arithmetic number, because the mean of its divisors is an integer number (10243140469131).

Almost surely, 2^{102211122100112} is an apocalyptic number.

It is an amenable number.

102211122100112 is an abundant number, since it is smaller than the sum of its proper divisors (102651687282508).

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

102211122100112 is a wasteful number, since it uses less digits than its factorization.

102211122100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220282590770 (or 220282590764 counting only the distinct ones).

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

Adding to 102211122100112 its reverse (211001221112201), we get a palindrome (313212343212313).

The spelling of 102211122100112 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".