103122122233311 has 32 divisors (see below), whose sum is σ = 154708776576000. Its totient is φ = 67877229498624.

The previous prime is 103122122233283. The next prime is 103122122233343. The reversal of 103122122233311 is 113332221221301.

103122122233311 is a `hidden beast` number, since 1 + 0 + 3 + 122 + 1 + 2 + 223 + 3 + 311 = 666.

It is not a de Polignac number, because 103122122233311 - 2¹⁷ = 103122122102239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103124122233311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409343956 + ... + 409595798.

It is an arithmetic number, because the mean of its divisors is an integer number (4834649268000).

Almost surely, 2^{103122122233311} is an apocalyptic number.

103122122233311 is a deficient number, since it is larger than the sum of its proper divisors (51586654342689).

103122122233311 is a wasteful number, since it uses less digits than its factorization.

103122122233311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443900 (or 443894 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103122122233311 its reverse (113332221221301), we get a palindrome (216454343454612).

The spelling of 103122122233311 in words is "one hundred three trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thirty-three thousand, three hundred eleven".