2122102010257 has 2 divisors, whose sum is σ = 2122102010258. Its totient is φ = 2122102010256.

The previous prime is 2122102010213. The next prime is 2122102010269. The reversal of 2122102010257 is 7520102012212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2079684136321 + 42417873936 = 1442111^2 + 205956^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122102010257 - 2²³ = 2122093621649 is a prime.

It is a super-3 number, since 3×2122102010257³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2122102010857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051005128 + 1061051005129.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051005129).

Almost surely, 2^{2122102010257} is an apocalyptic number.

It is an amenable number.

2122102010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102010257 is an equidigital number, since it uses as much as digits as its factorization.

2122102010257 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 25.

Adding to 2122102010257 its reverse (7520102012212), we get a palindrome (9642204022469).

The spelling of 2122102010257 in words is "two trillion, one hundred twenty-two billion, one hundred two million, ten thousand, two hundred fifty-seven".