112212012000100 has 18 divisors (see below), whose sum is σ = 243500066040434. Its totient is φ = 44884804800000.

The previous prime is 112212012000091. The next prime is 112212012000149. The reversal of 112212012000100 is 1000210212211.

It can be written as a sum of positive squares in 3 ways, for example, as 8195715449856 + 104016296550244 = 2862816^2 + 10198838^2 .

It is a super-2 number, since 2×112212012000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561060059901 + ... + 561060060100.

Almost surely, 2^{112212012000100} is an apocalyptic number.

112212012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212012000100 is an abundant number, since it is smaller than the sum of its proper divisors (131288054040334).

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

112212012000100 is a wasteful number, since it uses less digits than its factorization.

112212012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122120120015 (or 1122120120008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112212012000100 its reverse (1000210212211), we get a palindrome (113212222212311).

The spelling of 112212012000100 in words is "one hundred twelve trillion, two hundred twelve billion, twelve million, one hundred", and thus it is an aban number.