100022122112 has 64 divisors (see below), whose sum is σ = 218516313600. Its totient is φ = 45226444800.

The previous prime is 100022122087. The next prime is 100022122133. The reversal of 100022122112 is 211221220001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82964 + ... + 454892.

It is an arithmetic number, because the mean of its divisors is an integer number (3414317400).

Almost surely, 2^100022122112 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 100022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109258156800).

100022122112 is an abundant number, since it is smaller than the sum of its proper divisors (118494191488).

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

100022122112 is a wasteful number, since it uses less digits than its factorization.

100022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372145 (or 372133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100022122112 its reverse (211221220001), we get a palindrome (311243342113).

The spelling of 100022122112 in words is "one hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".