102202113 has 32 divisors (see below), whose sum is σ = 156643200. Its totient is φ = 58715136.

The previous prime is 102202091. The next prime is 102202123. The reversal of 102202113 is 311202201.

It is not a de Polignac number, because 102202113 - 2⁵ = 102202081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202123) 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 in 31 ways as a sum of consecutive naturals, for example, 91603 + ... + 92711.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2^102202113 is an apocalyptic number.

102202113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102202113 is a deficient number, since it is larger than the sum of its proper divisors (54441087).

102202113 is a wasteful number, since it uses less digits than its factorization.

102202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102202113 is about 10109.5060710205. The cubic root of 102202113 is about 467.5412765370.

Adding to 102202113 its reverse (311202201), we get a palindrome (413404314).

The spelling of 102202113 in words is "one hundred two million, two hundred two thousand, one hundred thirteen".