100102021012 has 144 divisors (see below), whose sum is σ = 218608588800. Its totient is φ = 39900833280.

The previous prime is 100102020979. The next prime is 100102021031. The reversal of 100102021012 is 210120201001.

It is a super-2 number, since 2×100102021012² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100102021012.

It is a congruent number.

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, 42111568 + ... + 42113944.

It is an arithmetic number, because the mean of its divisors is an integer number (1518115200).

Almost surely, 2^100102021012 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 100102021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109304294400).

100102021012 is an abundant number, since it is smaller than the sum of its proper divisors (118506567788).

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

100102021012 is a wasteful number, since it uses less digits than its factorization.

100102021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2685 counting only the distinct ones).

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

Adding to 100102021012 its reverse (210120201001), we get a palindrome (310222222013).

The spelling of 100102021012 in words is "one hundred billion, one hundred two million, twenty-one thousand, twelve".