101110120121 has 2 divisors, whose sum is σ = 101110120122. Its totient is φ = 101110120120.

The previous prime is 101110120099. The next prime is 101110120127. The reversal of 101110120121 is 121021011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100945998400 + 164121721 = 317720^2 + 12811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110120121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110120127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555060060 + 50555060061.

It is an arithmetic number, because the mean of its divisors is an integer number (50555060061).

Almost surely, 2^101110120121 is an apocalyptic number.

It is an amenable number.

101110120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110120121 is an equidigital number, since it uses as much as digits as its factorization.

101110120121 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 101110120121 its reverse (121021011101), we get a palindrome (222131131222).

The spelling of 101110120121 in words is "one hundred one billion, one hundred ten million, one hundred twenty thousand, one hundred twenty-one".