100069520100 has 288 divisors, whose sum is σ = 330308858880. Its totient is φ = 23153856000.

The previous prime is 100069520087. The next prime is 100069520107. The reversal of 100069520100 is 1025960001.

It is not an unprimeable number, because it can be changed into a prime (100069520107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43337746 + ... + 43340054.

It is an arithmetic number, because the mean of its divisors is an integer number (1146905760).

Almost surely, 2^100069520100 is an apocalyptic number.

100069520100 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 100069520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165154429440).

100069520100 is an abundant number, since it is smaller than the sum of its proper divisors (230239338780).

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

100069520100 is a wasteful number, since it uses less digits than its factorization.

100069520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 100069520100 in words is "one hundred billion, sixty-nine million, five hundred twenty thousand, one hundred".