11112012212100 has 576 divisors, whose sum is σ = 34483992883200. Its totient is φ = 2757597696000.

The previous prime is 11112012211967. The next prime is 11112012212123. The reversal of 11112012212100 is 121221021111.

It is a happy number.

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 11112012212100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13436531887 + ... + 13436532713.

It is an arithmetic number, because the mean of its divisors is an integer number (59868043200).

Almost surely, 2^{11112012212100} is an apocalyptic number.

11112012212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241996441600).

11112012212100 is an abundant number, since it is smaller than the sum of its proper divisors (23371980671100).

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

11112012212100 is a wasteful number, since it uses less digits than its factorization.

11112012212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

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

Adding to 11112012212100 its reverse (121221021111), we get a palindrome (11233233233211).

The spelling of 11112012212100 in words is "eleven trillion, one hundred twelve billion, twelve million, two hundred twelve thousand, one hundred".