100122112 has 40 divisors (see below), whose sum is σ = 211834656. Its totient is φ = 47112192.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122112 is 211221001.

It is a super-2 number, since 2×100122112² = 20048874622681088, which 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 3 ways as a sum of consecutive naturals, for example, 2953 + ... + 14455.

Almost surely, 2^100122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105917328).

100122112 is an abundant number, since it is smaller than the sum of its proper divisors (111712544).

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

100122112 is an equidigital number, since it uses as much as digits as its factorization.

100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11538 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100122112 is about 10006.1037372196. The cubic root of 100122112 is about 464.3477377427.

Adding to 100122112 its reverse (211221001), we get a palindrome (311343113).

The spelling of 100122112 in words is "one hundred million, one hundred twenty-two thousand, one hundred twelve".