102201113 has 6 divisors (see below), whose sum is σ = 118887066. Its totient is φ = 87600912.

The previous prime is 102201109. The next prime is 102201149. The reversal of 102201113 is 311102201.

It can be written as a sum of positive squares in only one way, i.e., 77915929 + 24285184 = 8827^2 + 4928^2 .

It is not a de Polignac number, because 102201113 - 2² = 102201109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201094 and 102201103.

It is not an unprimeable number, because it can be changed into a prime (102201173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042820 + ... + 1042917.

It is an arithmetic number, because the mean of its divisors is an integer number (19814511).

Almost surely, 2^102201113 is an apocalyptic number.

It is an amenable number.

102201113 is a deficient number, since it is larger than the sum of its proper divisors (16685953).

102201113 is an equidigital number, since it uses as much as digits as its factorization.

102201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085751 (or 2085744 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102201113 is about 10109.4566124990. The cubic root of 102201113 is about 467.5397516409.

Adding to 102201113 its reverse (311102201), we get a palindrome (413303314).

The spelling of 102201113 in words is "one hundred two million, two hundred one thousand, one hundred thirteen".