100572066210 has 64 divisors (see below), whose sum is σ = 300932527104. Its totient is φ = 20898091200.

The previous prime is 100572066173. The next prime is 100572066211. The reversal of 100572066210 is 12660275001.

It is a super-3 number, since 3×100572066210³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100572066211) 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, 21766536 + ... + 21771155.

It is an arithmetic number, because the mean of its divisors is an integer number (4702070736).

Almost surely, 2^100572066210 is an apocalyptic number.

100572066210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100572066210 is an abundant number, since it is smaller than the sum of its proper divisors (200360460894).

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

100572066210 is a wasteful number, since it uses less digits than its factorization.

100572066210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43537719.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 100572066210 in words is "one hundred billion, five hundred seventy-two million, sixty-six thousand, two hundred ten".