10120113121 has 2 divisors, whose sum is σ = 10120113122. Its totient is φ = 10120113120.

The previous prime is 10120113071. The next prime is 10120113131. The reversal of 10120113121 is 12131102101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7259040000 + 2861073121 = 85200^2 + 53489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120113121 - 2¹⁹ = 10119588833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060056560 + 5060056561.

It is an arithmetic number, because the mean of its divisors is an integer number (5060056561).

Almost surely, 2^10120113121 is an apocalyptic number.

It is an amenable number.

10120113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120113121 is an equidigital number, since it uses as much as digits as its factorization.

10120113121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10120113121 its reverse (12131102101), we get a palindrome (22251215222).

The spelling of 10120113121 in words is "ten billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty-one".