102120312311 has 16 divisors (see below), whose sum is σ = 103188277248. Its totient is φ = 101059358400.

The previous prime is 102120312289. The next prime is 102120312323. The reversal of 102120312311 is 113213021201.

It is a cyclic number.

It is not a de Polignac number, because 102120312311 - 2³⁴ = 84940443127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102120312311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120311311) 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, 34580411 + ... + 34583363.

It is an arithmetic number, because the mean of its divisors is an integer number (6449267328).

Almost surely, 2^102120312311 is an apocalyptic number.

102120312311 is a deficient number, since it is larger than the sum of its proper divisors (1067964937).

102120312311 is a wasteful number, since it uses less digits than its factorization.

102120312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102120312311 its reverse (113213021201), we get a palindrome (215333333512).

The spelling of 102120312311 in words is "one hundred two billion, one hundred twenty million, three hundred twelve thousand, three hundred eleven".