12220031013101 has 2 divisors, whose sum is σ = 12220031013102. Its totient is φ = 12220031013100.

The previous prime is 12220031013097. The next prime is 12220031013107. The reversal of 12220031013101 is 10131013002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11172941334025 + 1047089679076 = 3342595^2 + 1023274^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220031013101 - 2² = 12220031013097 is a prime.

It is a super-2 number, since 2×12220031013101² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220031013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220031013107) 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 as a sum of consecutive naturals, namely, 6110015506550 + 6110015506551.

It is an arithmetic number, because the mean of its divisors is an integer number (6110015506551).

Almost surely, 2^{12220031013101} is an apocalyptic number.

It is an amenable number.

12220031013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220031013101 is an equidigital number, since it uses as much as digits as its factorization.

12220031013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12220031013101 its reverse (10131013002221), we get a palindrome (22351044015322).

The spelling of 12220031013101 in words is "twelve trillion, two hundred twenty billion, thirty-one million, thirteen thousand, one hundred one".