100210570015820 has 96 divisors (see below), whose sum is σ = 231124368384000. Its totient is φ = 36194028704000.

The previous prime is 100210570015811. The next prime is 100210570015889. The reversal of 100210570015820 is 28510075012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928242845 + ... + 928350795.

It is an arithmetic number, because the mean of its divisors is an integer number (2407545504000).

Almost surely, 2^{100210570015820} is an apocalyptic number.

100210570015820 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 100210570015820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115562184192000).

100210570015820 is an abundant number, since it is smaller than the sum of its proper divisors (130913798368180).

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

100210570015820 is a wasteful number, since it uses less digits than its factorization.

100210570015820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136439 (or 136437 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The spelling of 100210570015820 in words is "one hundred trillion, two hundred ten billion, five hundred seventy million, fifteen thousand, eight hundred twenty".