106966964992201 has 2 divisors, whose sum is σ = 106966964992202. Its totient is φ = 106966964992200.

The previous prime is 106966964992171. The next prime is 106966964992301. The reversal of 106966964992201 is 102299469669601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85765176380601 + 21201788611600 = 9260949^2 + 4604540^2 .

It is an emirp because it is prime and its reverse (102299469669601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106966964992201 - 2¹⁵ = 106966964959433 is a prime.

It is a super-2 number, since 2×106966964992201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106966964992301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53483482496100 + 53483482496101.

It is an arithmetic number, because the mean of its divisors is an integer number (53483482496101).

Almost surely, 2^{106966964992201} is an apocalyptic number.

It is an amenable number.

106966964992201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106966964992201 is an equidigital number, since it uses as much as digits as its factorization.

106966964992201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136048896, while the sum is 70.

The spelling of 106966964992201 in words is "one hundred six trillion, nine hundred sixty-six billion, nine hundred sixty-four million, nine hundred ninety-two thousand, two hundred one".