10120010057 has 2 divisors, whose sum is σ = 10120010058. Its totient is φ = 10120010056.

The previous prime is 10120010023. The next prime is 10120010059. The reversal of 10120010057 is 75001002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6805590016 + 3314420041 = 82496^2 + 57571^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120010057 - 2⁶ = 10120009993 is a prime.

It is a super-2 number, since 2×10120010057² (a number of 21 digits) contains 22 as substring.

Together with 10120010059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10120010059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060005028 + 5060005029.

It is an arithmetic number, because the mean of its divisors is an integer number (5060005029).

Almost surely, 2^10120010057 is an apocalyptic number.

It is an amenable number.

10120010057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120010057 is an equidigital number, since it uses as much as digits as its factorization.

10120010057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 17.

Adding to 10120010057 its reverse (75001002101), we get a palindrome (85121012158).

The spelling of 10120010057 in words is "ten billion, one hundred twenty million, ten thousand, fifty-seven".