2312101102057 has 2 divisors, whose sum is σ = 2312101102058. Its totient is φ = 2312101102056.

The previous prime is 2312101101991. The next prime is 2312101102099. The reversal of 2312101102057 is 7502011012132.

2312101102057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2114613297241 + 197487804816 = 1454171^2 + 444396^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312101102057 - 2¹⁹ = 2312100577769 is a prime.

It is a super-2 number, since 2×2312101102057² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2312101202057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156050551028 + 1156050551029.

It is an arithmetic number, because the mean of its divisors is an integer number (1156050551029).

Almost surely, 2^{2312101102057} is an apocalyptic number.

It is an amenable number.

2312101102057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312101102057 is an equidigital number, since it uses as much as digits as its factorization.

2312101102057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 2312101102057 its reverse (7502011012132), we get a palindrome (9814112114189).

The spelling of 2312101102057 in words is "two trillion, three hundred twelve billion, one hundred one million, one hundred two thousand, fifty-seven".