102201131117 has 2 divisors, whose sum is σ = 102201131118. Its totient is φ = 102201131116.

The previous prime is 102201131093. The next prime is 102201131129. The reversal of 102201131117 is 711131102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97735015876 + 4466115241 = 312626^2 + 66829^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201131117 - 2³² = 97906163821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201131177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100565558 + 51100565559.

It is an arithmetic number, because the mean of its divisors is an integer number (51100565559).

Almost surely, 2^102201131117 is an apocalyptic number.

It is an amenable number.

102201131117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201131117 is an equidigital number, since it uses as much as digits as its factorization.

102201131117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 102201131117 its reverse (711131102201), we get a palindrome (813332233318).

The spelling of 102201131117 in words is "one hundred two billion, two hundred one million, one hundred thirty-one thousand, one hundred seventeen".