100112202221112 has 96 divisors (see below), whose sum is σ = 272894775753600. Its totient is φ = 33154750905408.

The previous prime is 100112202221077. The next prime is 100112202221117. The reversal of 100112202221112 is 211122202211001.

100112202221112 is a `hidden beast` number, since 100 + 11 + 220 + 2 + 221 + 112 = 666.

It is a super-2 number, since 2×100112202221112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112202221117) 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, 11014693 + ... + 17931755.

It is an arithmetic number, because the mean of its divisors is an integer number (2842653914100).

Almost surely, 2^{100112202221112} is an apocalyptic number.

100112202221112 is a gapful number since it is divisible by the number (12) 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 100112202221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447387876800).

100112202221112 is an abundant number, since it is smaller than the sum of its proper divisors (172782573532488).

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

100112202221112 is a wasteful number, since it uses less digits than its factorization.

100112202221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918377 (or 6918370 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112202221112 its reverse (211122202211001), we get a palindrome (311234404432113).

The spelling of 100112202221112 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred twenty-one thousand, one hundred twelve".