100111120121 has 4 divisors (see below), whose sum is σ = 100121311092. Its totient is φ = 100100929152.

The previous prime is 100111120097. The next prime is 100111120133. The reversal of 100111120121 is 121021111001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121021111001 = 7 ⋅17288730143.

It can be written as a sum of positive squares in 2 ways, for example, as 39380418025 + 60730702096 = 198445^2 + 246436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111120121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111120321) 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 3 ways as a sum of consecutive naturals, for example, 5080736 + ... + 5100401.

It is an arithmetic number, because the mean of its divisors is an integer number (25030327773).

Almost surely, 2^100111120121 is an apocalyptic number.

It is an amenable number.

100111120121 is a deficient number, since it is larger than the sum of its proper divisors (10190971).

100111120121 is an equidigital number, since it uses as much as digits as its factorization.

100111120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190970.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111120121 its reverse (121021111001), we get a palindrome (221132231122).

The spelling of 100111120121 in words is "one hundred billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty-one".