100122133122 has 24 divisors (see below), whose sum is σ = 236652315120. Its totient is φ = 30340040280.

The previous prime is 100122133093. The next prime is 100122133141. The reversal of 100122133122 is 221331221001.

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 = 100122133095 and 100122133104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252833472 + ... + 252833867.

It is an arithmetic number, because the mean of its divisors is an integer number (9860513130).

Almost surely, 2^100122133122 is an apocalyptic number.

100122133122 is an abundant number, since it is smaller than the sum of its proper divisors (136530181998).

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

100122133122 is a wasteful number, since it uses less digits than its factorization.

100122133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505667358 (or 505667355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122133122 its reverse (221331221001), we get a palindrome (321453354123).

It can be divided in two parts, 1001 and 22133122, that multiplied together give a palindrome (22155255122).

The spelling of 100122133122 in words is "one hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-two".