100112221012122 has 64 divisors (see below), whose sum is σ = 250525206097920. Its totient is φ = 29358422578800.

The previous prime is 100112221012079. The next prime is 100112221012123. The reversal of 100112221012122 is 221210122211001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100112221012095 and 100112221012104.

It is not an unprimeable number, because it can be changed into a prime (100112221012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718354048 + ... + 2718390875.

It is an arithmetic number, because the mean of its divisors is an integer number (3914456345280).

Almost surely, 2^{100112221012122} is an apocalyptic number.

100112221012122 is an abundant number, since it is smaller than the sum of its proper divisors (150412985085798).

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

100112221012122 is a wasteful number, since it uses less digits than its factorization.

100112221012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436744976 (or 5436744970 counting only the distinct ones).

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

Adding to 100112221012122 its reverse (221210122211001), we get a palindrome (321322343223123).

The spelling of 100112221012122 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".