112212010111201 has 64 divisors (see below), whose sum is σ = 152225477945856. Its totient is φ = 79875258624000.

The previous prime is 112212010111163. The next prime is 112212010111231. The reversal of 112212010111201 is 102111010212211.

It is not a de Polignac number, because 112212010111201 - 2³⁷ = 112074571157729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112212010111231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215793151 + ... + 216312523.

It is an arithmetic number, because the mean of its divisors is an integer number (2378523092904).

Almost surely, 2^{112212010111201} is an apocalyptic number.

112212010111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112212010111201 is a deficient number, since it is larger than the sum of its proper divisors (40013467834655).

112212010111201 is a wasteful number, since it uses less digits than its factorization.

112212010111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521642.

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

Adding to 112212010111201 its reverse (102111010212211), we get a palindrome (214323020323412).

It can be divided in two parts, 112212010 and 111201, that added together give a palindrome (112323211).

The spelling of 112212010111201 in words is "one hundred twelve trillion, two hundred twelve billion, ten million, one hundred eleven thousand, two hundred one".