101202002117 has 2 divisors, whose sum is σ = 101202002118. Its totient is φ = 101202002116.

The previous prime is 101202002093. The next prime is 101202002131. The reversal of 101202002117 is 711200202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93700883236 + 7501118881 = 306106^2 + 86609^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202002117 - 2¹⁰ = 101202001093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202002095 and 101202002104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202002917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601001058 + 50601001059.

It is an arithmetic number, because the mean of its divisors is an integer number (50601001059).

Almost surely, 2^101202002117 is an apocalyptic number.

It is an amenable number.

101202002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202002117 is an equidigital number, since it uses as much as digits as its factorization.

101202002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 101202002117 its reverse (711200202101), we get a palindrome (812402204218).

The spelling of 101202002117 in words is "one hundred one billion, two hundred two million, two thousand, one hundred seventeen".