10127914961 has 2 divisors, whose sum is σ = 10127914962. Its totient is φ = 10127914960.

The previous prime is 10127914943. The next prime is 10127914969. The reversal of 10127914961 is 16941972101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7207161025 + 2920753936 = 84895^2 + 54044^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127914961 - 2¹⁰ = 10127913937 is a prime.

It is a super-2 number, since 2×10127914961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10127914969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5063957480 + 5063957481.

It is an arithmetic number, because the mean of its divisors is an integer number (5063957481).

Almost surely, 2^10127914961 is an apocalyptic number.

It is an amenable number.

10127914961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127914961 is an equidigital number, since it uses as much as digits as its factorization.

10127914961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 41.

The spelling of 10127914961 in words is "ten billion, one hundred twenty-seven million, nine hundred fourteen thousand, nine hundred sixty-one".