2102042892137 has 2 divisors, whose sum is σ = 2102042892138. Its totient is φ = 2102042892136.

The previous prime is 2102042892119. The next prime is 2102042892193. The reversal of 2102042892137 is 7312982402012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1777859556496 + 324183335641 = 1333364^2 + 569371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102042892137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102042892094 and 2102042892103.

It is not a weakly prime, because it can be changed into another prime (2102042892197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051021446068 + 1051021446069.

It is an arithmetic number, because the mean of its divisors is an integer number (1051021446069).

Almost surely, 2^{2102042892137} is an apocalyptic number.

It is an amenable number.

2102042892137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102042892137 is an equidigital number, since it uses as much as digits as its factorization.

2102042892137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 2102042892137 in words is "two trillion, one hundred two billion, forty-two million, eight hundred ninety-two thousand, one hundred thirty-seven".