100911921 has 16 divisors (see below), whose sum is σ = 147667968. Its totient is φ = 60789200.

The previous prime is 100911917. The next prime is 100911953. The reversal of 100911921 is 129119001.

It is a cyclic number.

It is not a de Polignac number, because 100911921 - 2² = 100911917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100911891 and 100911900.

It is not an unprimeable number, because it can be changed into a prime (100911901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (9229248).

Almost surely, 2^100911921 is an apocalyptic number.

100911921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100911921 is a deficient number, since it is larger than the sum of its proper divisors (46756047).

100911921 is a wasteful number, since it uses less digits than its factorization.

100911921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18492.

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 100911921 is about 10045.4925712978. The cubic root of 100911921 is about 465.5655369075.

The spelling of 100911921 in words is "one hundred million, nine hundred eleven thousand, nine hundred twenty-one".