102200211301213 has 16 divisors (see below), whose sum is σ = 104970563539200. Its totient is φ = 99469323701440.

The previous prime is 102200211301187. The next prime is 102200211301229. The reversal of 102200211301213 is 312103112002201.

It is a cyclic number.

It is not a de Polignac number, because 102200211301213 - 2³⁷ = 102062772347741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201211301213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18507718 + ... + 23386663.

It is an arithmetic number, because the mean of its divisors is an integer number (6560660221200).

Almost surely, 2^{102200211301213} is an apocalyptic number.

It is an amenable number.

102200211301213 is a deficient number, since it is larger than the sum of its proper divisors (2770352237987).

102200211301213 is a wasteful number, since it uses less digits than its factorization.

102200211301213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41894852.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102200211301213 its reverse (312103112002201), we get a palindrome (414303323303414).

The spelling of 102200211301213 in words is "one hundred two trillion, two hundred billion, two hundred eleven million, three hundred one thousand, two hundred thirteen".