100012021000 has 128 divisors (see below), whose sum is σ = 239255078400. Its totient is φ = 39118540800.

The previous prime is 100012020949. The next prime is 100012021007. The reversal of 100012021000 is 120210001.

It is not an unprimeable number, because it can be changed into a prime (100012021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11382609 + ... + 11391391.

It is an arithmetic number, because the mean of its divisors is an integer number (1869180300).

Almost surely, 2^100012021000 is an apocalyptic number.

100012021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119627539200).

100012021000 is an abundant number, since it is smaller than the sum of its proper divisors (139243057400).

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

100012021000 is a wasteful number, since it uses less digits than its factorization.

100012021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100012021000 its reverse (120210001), we get a palindrome (100132231001).

The spelling of 100012021000 in words is "one hundred billion, twelve million, twenty-one thousand".