100113310100 has 18 divisors (see below), whose sum is σ = 217245883134. Its totient is φ = 40045324000.

The previous prime is 100113310067. The next prime is 100113310109. The reversal of 100113310100 is 1013311001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1021825156 + 99091484944 = 31966^2 + 314788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113310109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500566451 + ... + 500566650.

Almost surely, 2^100113310100 is an apocalyptic number.

100113310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113310100 is an abundant number, since it is smaller than the sum of its proper divisors (117132573034).

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

100113310100 is a wasteful number, since it uses less digits than its factorization.

100113310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001133115 (or 1001133108 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100113310100 its reverse (1013311001), we get a palindrome (101126621101).

Subtracting from 100113310100 its reverse (1013311001), we obtain a palindrome (99099999099).

The spelling of 100113310100 in words is "one hundred billion, one hundred thirteen million, three hundred ten thousand, one hundred".