11012120626667 has 2 divisors, whose sum is σ = 11012120626668. Its totient is φ = 11012120626666.

The previous prime is 11012120626597. The next prime is 11012120626669. The reversal of 11012120626667 is 76662602121011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11012120626667 - 2¹⁰ = 11012120625643 is a prime.

Together with 11012120626669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11012120626669) 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, 5506060313333 + 5506060313334.

It is an arithmetic number, because the mean of its divisors is an integer number (5506060313334).

Almost surely, 2^{11012120626667} is an apocalyptic number.

11012120626667 is a deficient number, since it is larger than the sum of its proper divisors (1).

11012120626667 is an equidigital number, since it uses as much as digits as its factorization.

11012120626667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

Adding to 11012120626667 its reverse (76662602121011), we get a palindrome (87674722747678).

The spelling of 11012120626667 in words is "eleven trillion, twelve billion, one hundred twenty million, six hundred twenty-six thousand, six hundred sixty-seven".