100990101 has 16 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 65478000.

The previous prime is 100990091. The next prime is 100990133. The reversal of 100990101 is 101099001.

It is not a de Polignac number, because 100990101 - 2⁹ = 100989589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100990601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30820 + ... + 33938.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^100990101 is an apocalyptic number.

It is an amenable number.

100990101 is a deficient number, since it is larger than the sum of its proper divisors (37388139).

100990101 is a wasteful number, since it uses less digits than its factorization.

100990101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416.

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 100990101 is about 10049.3831153957. The cubic root of 100990101 is about 465.6857358486.

Subtracting 100990101 from its reverse (101099001), we obtain a square (108900 = 330²).

It can be divided in two parts, 1009 and 90101, that multiplied together give a palindrome (90911909).

The spelling of 100990101 in words is "one hundred million, nine hundred ninety thousand, one hundred one".