111112112202100 has 144 divisors (see below), whose sum is σ = 256365047055600. Its totient is φ = 41734522368000.

The previous prime is 111112112202073. The next prime is 111112112202137. The reversal of 111112112202100 is 1202211211111.

It can be written as a sum of positive squares in 24 ways, for example, as 97607207492496 + 13504904709604 = 9879636^2 + 3674902^2 .

It is a super-2 number, since 2×111112112202100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12215410 + ... + 19272790.

It is an arithmetic number, because the mean of its divisors is an integer number (1780312826775).

Almost surely, 2^{111112112202100} is an apocalyptic number.

111112112202100 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 111112112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128182523527800).

111112112202100 is an abundant number, since it is smaller than the sum of its proper divisors (145252934853500).

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

111112112202100 is a wasteful number, since it uses less digits than its factorization.

111112112202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057574 (or 7057567 counting only the distinct ones).

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

Adding to 111112112202100 its reverse (1202211211111), we get a palindrome (112314323413211).

The spelling of 111112112202100 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand, one hundred".