101220967656689 has 2 divisors, whose sum is σ = 101220967656690. Its totient is φ = 101220967656688.

The previous prime is 101220967656661. The next prime is 101220967656733. The reversal of 101220967656689 is 986656769022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52565878554289 + 48655089102400 = 7250233^2 + 6975320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220967656689 is a prime.

It is a super-3 number, since 3×101220967656689³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101220967656089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610483828344 + 50610483828345.

It is an arithmetic number, because the mean of its divisors is an integer number (50610483828345).

Almost surely, 2^{101220967656689} is an apocalyptic number.

It is an amenable number.

101220967656689 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220967656689 is an equidigital number, since it uses as much as digits as its factorization.

101220967656689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117573120, while the sum is 68.

The spelling of 101220967656689 in words is "one hundred one trillion, two hundred twenty billion, nine hundred sixty-seven million, six hundred fifty-six thousand, six hundred eighty-nine".