22121231006117 has 2 divisors, whose sum is σ = 22121231006118. Its totient is φ = 22121231006116.

The previous prime is 22121231006089. The next prime is 22121231006123. The reversal of 22121231006117 is 71160013212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19937734198561 + 2183496807556 = 4465169^2 + 1477666^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121231006117 - 2¹² = 22121231002021 is a prime.

It is a super-2 number, since 2×22121231006117² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22121231006117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121231006167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060615503058 + 11060615503059.

It is an arithmetic number, because the mean of its divisors is an integer number (11060615503059).

Almost surely, 2^{22121231006117} is an apocalyptic number.

It is an amenable number.

22121231006117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121231006117 is an equidigital number, since it uses as much as digits as its factorization.

22121231006117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 22121231006117 its reverse (71160013212122), we get a palindrome (93281244218239).

The spelling of 22121231006117 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred thirty-one million, six thousand, one hundred seventeen".