100020010112 has 64 divisors (see below), whose sum is σ = 217546905600. Its totient is φ = 45427276800.

The previous prime is 100020010099. The next prime is 100020010133. The reversal of 100020010112 is 211010020001.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100020010112.

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, 1773062 + ... + 1828602.

It is an arithmetic number, because the mean of its divisors is an integer number (3399170400).

Almost surely, 2^100020010112 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 100020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108773452800).

100020010112 is an abundant number, since it is smaller than the sum of its proper divisors (117526895488).

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

100020010112 is a wasteful number, since it uses less digits than its factorization.

100020010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56845 (or 56833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020010112 its reverse (211010020001), we get a palindrome (311030030113).

The spelling of 100020010112 in words is "one hundred billion, twenty million, ten thousand, one hundred twelve".