112212002211100 has 72 divisors (see below), whose sum is σ = 267831755076816. Its totient is φ = 40804364392000.

The previous prime is 112212002211073. The next prime is 112212002211107. The reversal of 112212002211100 is 1112200212211.

It is a super-2 number, since 2×112212002211100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212002211107) 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 23 ways as a sum of consecutive naturals, for example, 421399591 + ... + 421665790.

It is an arithmetic number, because the mean of its divisors is an integer number (3719885487178).

Almost surely, 2^{112212002211100} is an apocalyptic number.

112212002211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212002211100 is an abundant number, since it is smaller than the sum of its proper divisors (155619752865716).

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

112212002211100 is a wasteful number, since it uses less digits than its factorization.

112212002211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843065428 (or 843065399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112212002211100 its reverse (1112200212211), we get a palindrome (113324202423311).

The spelling of 112212002211100 in words is "one hundred twelve trillion, two hundred twelve billion, two million, two hundred eleven thousand, one hundred".