100111021 has 4 divisors (see below), whose sum is σ = 100163392. Its totient is φ = 100058652.

The previous prime is 100111007. The next prime is 100111043. The reversal of 100111021 is 120111001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100111021 - 2⁹ = 100110509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110995 and 100111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23205 + ... + 27178.

It is an arithmetic number, because the mean of its divisors is an integer number (25040848).

Almost surely, 2^100111021 is an apocalyptic number.

It is an amenable number.

100111021 is a deficient number, since it is larger than the sum of its proper divisors (52371).

100111021 is an equidigital number, since it uses as much as digits as its factorization.

100111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52370.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100111021 is about 10005.5495101469. The cubic root of 100111021 is about 464.3305911110.

Adding to 100111021 its reverse (120111001), we get a palindrome (220222022).

The spelling of 100111021 in words is "one hundred million, one hundred eleven thousand, twenty-one".