100111012121 has 2 divisors, whose sum is σ = 100111012122. Its totient is φ = 100111012120.

The previous prime is 100111012109. The next prime is 100111012171. The reversal of 100111012121 is 121210111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70437160000 + 29673852121 = 265400^2 + 172261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111012121 - 2²⁶ = 100043903257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111012171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055506060 + 50055506061.

It is an arithmetic number, because the mean of its divisors is an integer number (50055506061).

Almost surely, 2^100111012121 is an apocalyptic number.

It is an amenable number.

100111012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111012121 is an equidigital number, since it uses as much as digits as its factorization.

100111012121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100111012121 its reverse (121210111001), we get a palindrome (221321123122).

The spelling of 100111012121 in words is "one hundred billion, one hundred eleven million, twelve thousand, one hundred twenty-one".