102200113213 has 16 divisors (see below), whose sum is σ = 117373032000. Its totient is φ = 88008698880.

The previous prime is 102200113189. The next prime is 102200113243. The reversal of 102200113213 is 312311002201.

It is a cyclic number.

It is not a de Polignac number, because 102200113213 - 2¹⁷ = 102199982141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200113243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085213 + ... + 2133661.

It is an arithmetic number, because the mean of its divisors is an integer number (7335814500).

Almost surely, 2^102200113213 is an apocalyptic number.

It is an amenable number.

102200113213 is a deficient number, since it is larger than the sum of its proper divisors (15172918787).

102200113213 is a wasteful number, since it uses less digits than its factorization.

102200113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58572.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102200113213 its reverse (312311002201), we get a palindrome (414511115414).

The spelling of 102200113213 in words is "one hundred two billion, two hundred million, one hundred thirteen thousand, two hundred thirteen".