2111121012257 has 2 divisors, whose sum is σ = 2111121012258. Its totient is φ = 2111121012256.

The previous prime is 2111121012211. The next prime is 2111121012271. The reversal of 2111121012257 is 7522101211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1518812224801 + 592308787456 = 1232401^2 + 769616^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121012257 - 2⁶ = 2111121012193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111121012857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560506128 + 1055560506129.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560506129).

Almost surely, 2^{2111121012257} is an apocalyptic number.

It is an amenable number.

2111121012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121012257 is an equidigital number, since it uses as much as digits as its factorization.

2111121012257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 2111121012257 its reverse (7522101211112), we get a palindrome (9633222223369).

The spelling of 2111121012257 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, twelve thousand, two hundred fifty-seven".