2112102000157 has 2 divisors, whose sum is σ = 2112102000158. Its totient is φ = 2112102000156.

The previous prime is 2112102000109. The next prime is 2112102000167. The reversal of 2112102000157 is 7510002012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2089892357316 + 22209642841 = 1445646^2 + 149029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112102000157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112102000167) 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, 1056051000078 + 1056051000079.

It is an arithmetic number, because the mean of its divisors is an integer number (1056051000079).

Almost surely, 2^{2112102000157} is an apocalyptic number.

It is an amenable number.

2112102000157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112102000157 is an equidigital number, since it uses as much as digits as its factorization.

2112102000157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 2112102000157 its reverse (7510002012112), we get a palindrome (9622104012269).

The spelling of 2112102000157 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred fifty-seven", and thus it is an aban number.