100111122121 has 4 divisors (see below), whose sum is σ = 100114110100. Its totient is φ = 100108134144.

The previous prime is 100111122119. The next prime is 100111122149. The reversal of 100111122121 is 121221111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121221111001 = 23 ⋅5270483087.

It can be written as a sum of positive squares in 2 ways, for example, as 47116780096 + 52994342025 = 217064^2 + 230205^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111122121 - 2¹ = 100111122119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111122101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1443156 + ... + 1510933.

It is an arithmetic number, because the mean of its divisors is an integer number (25028527525).

Almost surely, 2^100111122121 is an apocalyptic number.

It is an amenable number.

100111122121 is a deficient number, since it is larger than the sum of its proper divisors (2987979).

100111122121 is an equidigital number, since it uses as much as digits as its factorization.

100111122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987978.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111122121 its reverse (121221111001), we get a palindrome (221332233122).

The spelling of 100111122121 in words is "one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".