100113101 has 12 divisors (see below), whose sum is σ = 110341056. Its totient is φ = 90764520.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113101 is 101311001.

It is a de Polignac number, because none of the positive numbers 2^k-100113101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55130 + ... + 56916.

It is an arithmetic number, because the mean of its divisors is an integer number (9195088).

Almost surely, 2^100113101 is an apocalyptic number.

100113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100113101 is a deficient number, since it is larger than the sum of its proper divisors (10227955).

100113101 is a wasteful number, since it uses less digits than its factorization.

100113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 100113101 is about 10005.6534519241. The cubic root of 100113101 is about 464.3338068773. Note that the first 3 decimals are identical.

Adding to 100113101 its reverse (101311001), we get a palindrome (201424102).

The spelling of 100113101 in words is "one hundred million, one hundred thirteen thousand, one hundred one".