100020102112 has 72 divisors (see below), whose sum is σ = 228925989936. Its totient is φ = 42138891264.

The previous prime is 100020102109. The next prime is 100020102121. The reversal of 100020102112 is 211201020001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715608 + ... + 843880.

It is an arithmetic number, because the mean of its divisors is an integer number (3179527638).

Almost surely, 2^100020102112 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 100020102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114462994968).

100020102112 is an abundant number, since it is smaller than the sum of its proper divisors (128905887824).

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

100020102112 is an equidigital number, since it uses as much as digits as its factorization.

100020102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128408 (or 128341 counting only the distinct ones).

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

Adding to 100020102112 its reverse (211201020001), we get a palindrome (311221122113).

The spelling of 100020102112 in words is "one hundred billion, twenty million, one hundred two thousand, one hundred twelve".