2101122211157 has 2 divisors, whose sum is σ = 2101122211158. Its totient is φ = 2101122211156.

The previous prime is 2101122211093. The next prime is 2101122211169. The reversal of 2101122211157 is 7511122211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1817066256196 + 284055954961 = 1347986^2 + 532969^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101122211157 - 2⁶ = 2101122211093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101122211187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050561105578 + 1050561105579.

It is an arithmetic number, because the mean of its divisors is an integer number (1050561105579).

Almost surely, 2^{2101122211157} is an apocalyptic number.

It is an amenable number.

2101122211157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101122211157 is an equidigital number, since it uses as much as digits as its factorization.

2101122211157 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2101122211157 its reverse (7511122211012), we get a palindrome (9612244422169).

The spelling of 2101122211157 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred fifty-seven".