100111120221 has 16 divisors (see below), whose sum is σ = 153900284544. Its totient is φ = 56700102144.

The previous prime is 100111120189. The next prime is 100111120231. The reversal of 100111120221 is 122021111001.

It is not a de Polignac number, because 100111120221 - 2⁵ = 100111120189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111120197 and 100111120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21091416 + ... + 21096161.

It is an arithmetic number, because the mean of its divisors is an integer number (9618767784).

Almost surely, 2^100111120221 is an apocalyptic number.

It is an amenable number.

100111120221 is a deficient number, since it is larger than the sum of its proper divisors (53789164323).

100111120221 is a wasteful number, since it uses less digits than its factorization.

100111120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42187700.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111120221 its reverse (122021111001), we get a palindrome (222132231222).

The spelling of 100111120221 in words is "one hundred billion, one hundred eleven million, one hundred twenty thousand, two hundred twenty-one".