104102122311 has 48 divisors (see below), whose sum is σ = 175931533440. Its totient is φ = 58643732160.

The previous prime is 104102122291. The next prime is 104102122343. The reversal of 104102122311 is 113221201401.

104102122311 is a `hidden beast` number, since 1 + 0 + 410 + 21 + 2 + 231 + 1 = 666.

It is not a de Polignac number, because 104102122311 - 2⁵ = 104102122279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104102122711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422421 + ... + 621806.

It is an arithmetic number, because the mean of its divisors is an integer number (3665240280).

Almost surely, 2^104102122311 is an apocalyptic number.

104102122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104102122311 is a deficient number, since it is larger than the sum of its proper divisors (71829411129).

104102122311 is a wasteful number, since it uses less digits than its factorization.

104102122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044316 (or 1044313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104102122311 its reverse (113221201401), we get a palindrome (217323323712).

The spelling of 104102122311 in words is "one hundred four billion, one hundred two million, one hundred twenty-two thousand, three hundred eleven".