100022110102122 has 96 divisors (see below), whose sum is σ = 218225405437632. Its totient is φ = 30547423775232.

The previous prime is 100022110102097. The next prime is 100022110102139. The reversal of 100022110102122 is 221201011220001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176176188 + ... + 1176261224.

It is an arithmetic number, because the mean of its divisors is an integer number (2273181306642).

Almost surely, 2^{100022110102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022110102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109112702718816).

100022110102122 is an abundant number, since it is smaller than the sum of its proper divisors (118203295335510).

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

100022110102122 is a wasteful number, since it uses less digits than its factorization.

100022110102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93672 (or 93659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022110102122 its reverse (221201011220001), we get a palindrome (321223121322123).

The spelling of 100022110102122 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred two thousand, one hundred twenty-two".