100133000100 has 864 divisors, whose sum is σ = 405054074880. Its totient is φ = 20159124480.

The previous prime is 100133000089. The next prime is 100133000111. The reversal of 100133000100 is 1000331001.

It is an interprime number because it is at equal distance from previous prime (100133000089) and next prime (100133000111).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101864209 + ... + 101865191.

Almost surely, 2^100133000100 is an apocalyptic number.

100133000100 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 100133000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202527037440).

100133000100 is an abundant number, since it is smaller than the sum of its proper divisors (304921074780).

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

100133000100 is a wasteful number, since it uses less digits than its factorization.

100133000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100133000100 its reverse (1000331001), we get a palindrome (101133331101).

The spelling of 100133000100 in words is "one hundred billion, one hundred thirty-three million, one hundred", and thus it is an aban number.