10122121057 has 2 divisors, whose sum is σ = 10122121058. Its totient is φ = 10122121056.

The previous prime is 10122120989. The next prime is 10122121067. The reversal of 10122121057 is 75012122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5321848401 + 4800272656 = 72951^2 + 69284^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122121057 - 2¹¹ = 10122119009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122121067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060528 + 5061060529.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060529).

Almost surely, 2^10122121057 is an apocalyptic number.

It is an amenable number.

10122121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122121057 is an equidigital number, since it uses as much as digits as its factorization.

10122121057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 10122121057 its reverse (75012122101), we get a palindrome (85134243158).

The spelling of 10122121057 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, fifty-seven".