101077737642137 has 2 divisors, whose sum is σ = 101077737642138. Its totient is φ = 101077737642136.

The previous prime is 101077737642097. The next prime is 101077737642169. The reversal of 101077737642137 is 731246737770101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84241356099481 + 16836381542656 = 9178309^2 + 4103216^2 .

It is a cyclic number.

It is not a de Polignac number, because 101077737642137 - 2¹⁰ = 101077737641113 is a prime.

It is not a weakly prime, because it can be changed into another prime (101077737642187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50538868821068 + 50538868821069.

It is an arithmetic number, because the mean of its divisors is an integer number (50538868821069).

Almost surely, 2^{101077737642137} is an apocalyptic number.

It is an amenable number.

101077737642137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101077737642137 is an equidigital number, since it uses as much as digits as its factorization.

101077737642137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7260624, while the sum is 56.

The spelling of 101077737642137 in words is "one hundred one trillion, seventy-seven billion, seven hundred thirty-seven million, six hundred forty-two thousand, one hundred thirty-seven".