100010133312100 has 72 divisors (see below), whose sum is σ = 236980896376896. Its totient is φ = 36332046960000.

The previous prime is 100010133312071. The next prime is 100010133312109. The reversal of 100010133312100 is 1213331010001.

It is not an unprimeable number, because it can be changed into a prime (100010133312109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42958191 + ... + 45226390.

It is an arithmetic number, because the mean of its divisors is an integer number (3291401338568).

Almost surely, 2^{100010133312100} is an apocalyptic number.

100010133312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010133312100 is an abundant number, since it is smaller than the sum of its proper divisors (136970763064796).

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

100010133312100 is a wasteful number, since it uses less digits than its factorization.

100010133312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88185637 (or 88185630 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100010133312100 its reverse (1213331010001), we get a palindrome (101223464322101).

The spelling of 100010133312100 in words is "one hundred trillion, ten billion, one hundred thirty-three million, three hundred twelve thousand, one hundred".