102200220000013 has 8 divisors (see below), whose sum is σ = 105503822565120. Its totient is φ = 98897043764640.

The previous prime is 102200220000007. The next prime is 102200220000041. The reversal of 102200220000013 is 310000022002201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102200220000013 - 2²⁹ = 102199683129101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200219999948 and 102200220000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200220040013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106095208 + ... + 107054161.

It is an arithmetic number, because the mean of its divisors is an integer number (13187977820640).

Almost surely, 2^{102200220000013} is an apocalyptic number.

It is an amenable number.

102200220000013 is a deficient number, since it is larger than the sum of its proper divisors (3303602565107).

102200220000013 is a wasteful number, since it uses less digits than its factorization.

102200220000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213164867.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102200220000013 its reverse (310000022002201), we get a palindrome (412200242002214).

The spelling of 102200220000013 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, thirteen", and thus it is an aban number.