10122211002157 has 2 divisors, whose sum is σ = 10122211002158. Its totient is φ = 10122211002156.

The previous prime is 10122211002073. The next prime is 10122211002179. The reversal of 10122211002157 is 75120011222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9046024690921 + 1076186311236 = 3007661^2 + 1037394^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122211002157 - 2¹⁵ = 10122210969389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122211000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061105501078 + 5061105501079.

It is an arithmetic number, because the mean of its divisors is an integer number (5061105501079).

Almost surely, 2^{10122211002157} is an apocalyptic number.

It is an amenable number.

10122211002157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122211002157 is an equidigital number, since it uses as much as digits as its factorization.

10122211002157 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 25.

Adding to 10122211002157 its reverse (75120011222101), we get a palindrome (85242222224258).

The spelling of 10122211002157 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, two thousand, one hundred fifty-seven".