22102120000031 has 2 divisors, whose sum is σ = 22102120000032. Its totient is φ = 22102120000030.

The previous prime is 22102119999989. The next prime is 22102120000067. The reversal of 22102120000031 is 13000002120122.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22102120000031 is a prime.

It is a super-2 number, since 2×22102120000031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22102119999970 and 22102120000015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102120002031) 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 as a sum of consecutive naturals, namely, 11051060000015 + 11051060000016.

It is an arithmetic number, because the mean of its divisors is an integer number (11051060000016).

Almost surely, 2^{22102120000031} is an apocalyptic number.

22102120000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102120000031 is an equidigital number, since it uses as much as digits as its factorization.

22102120000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22102120000031 its reverse (13000002120122), we get a palindrome (35102122120153).

The spelling of 22102120000031 in words is "twenty-two trillion, one hundred two billion, one hundred twenty million, thirty-one", and thus it is an aban number.