122102311110031 has 16 divisors (see below), whose sum is σ = 139749408414720. Its totient is φ = 104506195569120.

The previous prime is 122102311110019. The next prime is 122102311110053. The reversal of 122102311110031 is 130011113201221.

It is a cyclic number.

It is not a de Polignac number, because 122102311110031 - 2¹⁷ = 122102310978959 is a prime.

It is a super-2 number, since 2×122102311110031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102311109990 and 122102311110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102311110001) 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, 476988885 + ... + 477244801.

It is an arithmetic number, because the mean of its divisors is an integer number (8734338025920).

Almost surely, 2^{122102311110031} is an apocalyptic number.

122102311110031 is a deficient number, since it is larger than the sum of its proper divisors (17647097304689).

122102311110031 is an equidigital number, since it uses as much as digits as its factorization.

122102311110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355254.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122102311110031 its reverse (130011113201221), we get a palindrome (252113424311252).

The spelling of 122102311110031 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred eleven million, one hundred ten thousand, thirty-one".