10010122221257 has 2 divisors, whose sum is σ = 10010122221258. Its totient is φ = 10010122221256.

The previous prime is 10010122221191. The next prime is 10010122221277. The reversal of 10010122221257 is 75212222101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9444902441536 + 565219779721 = 3073256^2 + 751811^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010122221257 - 2¹⁶ = 10010122155721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010122221277) 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, 5005061110628 + 5005061110629.

It is an arithmetic number, because the mean of its divisors is an integer number (5005061110629).

Almost surely, 2^{10010122221257} is an apocalyptic number.

It is an amenable number.

10010122221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010122221257 is an equidigital number, since it uses as much as digits as its factorization.

10010122221257 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 10010122221257 its reverse (75212222101001), we get a palindrome (85222344322258).

The spelling of 10010122221257 in words is "ten trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred fifty-seven".