100221112109 has 2 divisors, whose sum is σ = 100221112110. Its totient is φ = 100221112108.

The previous prime is 100221112073. The next prime is 100221112133. The reversal of 100221112109 is 901211122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92616748900 + 7604363209 = 304330^2 + 87203^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221112109 - 2²⁸ = 99952676653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221112909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110556054 + 50110556055.

It is an arithmetic number, because the mean of its divisors is an integer number (50110556055).

Almost surely, 2^100221112109 is an apocalyptic number.

It is an amenable number.

100221112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221112109 is an equidigital number, since it uses as much as digits as its factorization.

100221112109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100221112109 in words is "one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred nine".