122131101102031 has 16 divisors (see below), whose sum is σ = 141738935961600. Its totient is φ = 103070782159488.

The previous prime is 122131101101993. The next prime is 122131101102037. The reversal of 122131101102031 is 130201101131221.

It is a cyclic number.

It is not a de Polignac number, because 122131101102031 - 2²⁹ = 122130564231119 is a prime.

It is a super-2 number, since 2×122131101102031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131101102037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307394650 + ... + 307791703.

It is an arithmetic number, because the mean of its divisors is an integer number (8858683497600).

Almost surely, 2^{122131101102031} is an apocalyptic number.

122131101102031 is a deficient number, since it is larger than the sum of its proper divisors (19607834859569).

122131101102031 is an equidigital number, since it uses as much as digits as its factorization.

122131101102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615186798.

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

Adding to 122131101102031 its reverse (130201101131221), we get a palindrome (252332202233252).

The spelling of 122131101102031 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, one hundred one million, one hundred two thousand, thirty-one".