2111022021257 has 2 divisors, whose sum is σ = 2111022021258. Its totient is φ = 2111022021256.

The previous prime is 2111022021233. The next prime is 2111022021271. The reversal of 2111022021257 is 7521202201112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088059696201 + 1022962325056 = 1043101^2 + 1011416^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111022021257 - 2⁸ = 2111022021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111021021257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055511010628 + 1055511010629.

It is an arithmetic number, because the mean of its divisors is an integer number (1055511010629).

Almost surely, 2^{2111022021257} is an apocalyptic number.

It is an amenable number.

2111022021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111022021257 is an equidigital number, since it uses as much as digits as its factorization.

2111022021257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 2111022021257 its reverse (7521202201112), we get a palindrome (9632224222369).

The spelling of 2111022021257 in words is "two trillion, one hundred eleven billion, twenty-two million, twenty-one thousand, two hundred fifty-seven".