102200200312311 has 12 divisors (see below), whose sum is σ = 147630044730792. Its totient is φ = 68129990027856.

The previous prime is 102200200312291. The next prime is 102200200312393. The reversal of 102200200312311 is 113213002002201.

102200200312311 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 20 + 0 + 312 + 311 = 666.

It is not a de Polignac number, because 102200200312311 - 2²⁵ = 102200166757879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200200316311) 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 11 ways as a sum of consecutive naturals, for example, 289551081 + ... + 289903826.

It is an arithmetic number, because the mean of its divisors is an integer number (12302503727566).

Almost surely, 2^{102200200312311} is an apocalyptic number.

102200200312311 is a deficient number, since it is larger than the sum of its proper divisors (45429844418481).

102200200312311 is a wasteful number, since it uses less digits than its factorization.

102200200312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579474510 (or 579474507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102200200312311 its reverse (113213002002201), we get a palindrome (215413202314512).

The spelling of 102200200312311 in words is "one hundred two trillion, two hundred billion, two hundred million, three hundred twelve thousand, three hundred eleven".