2102002000157 has 2 divisors, whose sum is σ = 2102002000158. Its totient is φ = 2102002000156.

The previous prime is 2102002000121. The next prime is 2102002000207. The reversal of 2102002000157 is 7510002002012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1632093121156 + 469908879001 = 1277534^2 + 685499^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102002000157 - 2³⁴ = 2084822130973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102002000457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051001000078 + 1051001000079.

It is an arithmetic number, because the mean of its divisors is an integer number (1051001000079).

Almost surely, 2^{2102002000157} is an apocalyptic number.

It is an amenable number.

2102002000157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102002000157 is an equidigital number, since it uses as much as digits as its factorization.

2102002000157 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 20.

Adding to 2102002000157 its reverse (7510002002012), we get a palindrome (9612004002169).

The spelling of 2102002000157 in words is "two trillion, one hundred two billion, two million, one hundred fifty-seven", and thus it is an aban number.