100010022112 has 384 divisors, whose sum is σ = 272776605696. Its totient is φ = 34836480000.

The previous prime is 100010022089. The next prime is 100010022149. The reversal of 100010022112 is 211220010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355907412 + ... + 355907692.

It is an arithmetic number, because the mean of its divisors is an integer number (710355744).

Almost surely, 2^100010022112 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 100010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388302848).

100010022112 is an abundant number, since it is smaller than the sum of its proper divisors (172766583584).

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

100010022112 is a wasteful number, since it uses less digits than its factorization.

100010022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010022112 its reverse (211220010001), we get a palindrome (311230032113).

The spelling of 100010022112 in words is "one hundred billion, ten million, twenty-two thousand, one hundred twelve".