101137117 has 2 divisors, whose sum is σ = 101137118. Its totient is φ = 101137116.

The previous prime is 101137087. The next prime is 101137129. The reversal of 101137117 is 711731101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86229796 + 14907321 = 9286^2 + 3861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101137117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101147117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50568558 + 50568559.

It is an arithmetic number, because the mean of its divisors is an integer number (50568559).

Almost surely, 2^101137117 is an apocalyptic number.

It is an amenable number.

101137117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101137117 is an equidigital number, since it uses as much as digits as its factorization.

101137117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 22.

The square root of 101137117 is about 10056.6951330942. The cubic root of 101137117 is about 465.9115997653.

Adding to 101137117 its reverse (711731101), we get a palindrome (812868218).

The spelling of 101137117 in words is "one hundred one million, one hundred thirty-seven thousand, one hundred seventeen".