100042892137 has 2 divisors, whose sum is σ = 100042892138. Its totient is φ = 100042892136.

The previous prime is 100042892107. The next prime is 100042892161. The reversal of 100042892137 is 731298240001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99298093456 + 744798681 = 315116^2 + 27291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100042892137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100042892096 and 100042892105.

It is not a weakly prime, because it can be changed into another prime (100042892107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50021446068 + 50021446069.

It is an arithmetic number, because the mean of its divisors is an integer number (50021446069).

Almost surely, 2^100042892137 is an apocalyptic number.

It is an amenable number.

100042892137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100042892137 is an equidigital number, since it uses as much as digits as its factorization.

100042892137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 100042892137 in words is "one hundred billion, forty-two million, eight hundred ninety-two thousand, one hundred thirty-seven".