10121010113 has 2 divisors, whose sum is σ = 10121010114. Its totient is φ = 10121010112.

The previous prime is 10121010077. The next prime is 10121010149. The reversal of 10121010113 is 31101012101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10121010077) and next prime (10121010149).

It can be written as a sum of positive squares in only one way, i.e., 5646470449 + 4474539664 = 75143^2 + 66892^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121010113 - 2⁶ = 10121010049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121010094 and 10121010103.

It is not a weakly prime, because it can be changed into another prime (10121010013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060505056 + 5060505057.

It is an arithmetic number, because the mean of its divisors is an integer number (5060505057).

Almost surely, 2^10121010113 is an apocalyptic number.

It is an amenable number.

10121010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121010113 is an equidigital number, since it uses as much as digits as its factorization.

10121010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10121010113 its reverse (31101012101), we get a palindrome (41222022214).

The spelling of 10121010113 in words is "ten billion, one hundred twenty-one million, ten thousand, one hundred thirteen".