11122112012100 has 36 divisors (see below), whose sum is σ = 32179977422544. Its totient is φ = 2965896536480.

The previous prime is 11122112012041. The next prime is 11122112012111. The reversal of 11122112012100 is 121021122111.

It is a happy number.

It is a super-2 number, since 2×11122112012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122112012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18536853054 + ... + 18536853653.

Almost surely, 2^{11122112012100} is an apocalyptic number.

11122112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122112012100 is an abundant number, since it is smaller than the sum of its proper divisors (21057865410444).

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

11122112012100 is a wasteful number, since it uses less digits than its factorization.

11122112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073706724 (or 37073706717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122112012100 its reverse (121021122111), we get a palindrome (11243133134211).

The spelling of 11122112012100 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, twelve thousand, one hundred".