120027262167401 has 2 divisors, whose sum is σ = 120027262167402. Its totient is φ = 120027262167400.

The previous prime is 120027262167383. The next prime is 120027262167403. The reversal of 120027262167401 is 104761262720021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117338203340176 + 2689058827225 = 10832276^2 + 1639835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120027262167401 is a prime.

It is a super-2 number, since 2×120027262167401² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 120027262167403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (120027262167403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60013631083700 + 60013631083701.

It is an arithmetic number, because the mean of its divisors is an integer number (60013631083701).

Almost surely, 2^{120027262167401} is an apocalyptic number.

It is an amenable number.

120027262167401 is a deficient number, since it is larger than the sum of its proper divisors (1).

120027262167401 is an equidigital number, since it uses as much as digits as its factorization.

120027262167401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 120027262167401 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred sixty-seven thousand, four hundred one".