100122122211102 has 12 divisors (see below), whose sum is σ = 216931264790760. Its totient is φ = 33374040737028.

The previous prime is 100122122211071. The next prime is 100122122211109. The reversal of 100122122211102 is 201112221221001.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5562340122839 = 100122122211102 / (1 + 0 + 0 + 1 + 2 + 2 + 1 + 2 + 2 + 2 + 1 + 1 + 1 + 0 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2781170061402 + ... + 2781170061437.

It is an arithmetic number, because the mean of its divisors is an integer number (18077605399230).

Almost surely, 2^{100122122211102} is an apocalyptic number.

100122122211102 is an abundant number, since it is smaller than the sum of its proper divisors (116809142579658).

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

100122122211102 is a wasteful number, since it uses less digits than its factorization.

100122122211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562340122847 (or 5562340122844 counting only the distinct ones).

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

Adding to 100122122211102 its reverse (201112221221001), we get a palindrome (301234343432103).

The spelling of 100122122211102 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred two".