114124400800901 has 2 divisors, whose sum is σ = 114124400800902. Its totient is φ = 114124400800900.

The previous prime is 114124400800871. The next prime is 114124400800909. The reversal of 114124400800901 is 109008004421411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66243744228676 + 47880656572225 = 8139026^2 + 6919585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114124400800901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114124400800909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57062200400450 + 57062200400451.

It is an arithmetic number, because the mean of its divisors is an integer number (57062200400451).

Almost surely, 2^{114124400800901} is an apocalyptic number.

It is an amenable number.

114124400800901 is a deficient number, since it is larger than the sum of its proper divisors (1).

114124400800901 is an equidigital number, since it uses as much as digits as its factorization.

114124400800901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 114124400800901 in words is "one hundred fourteen trillion, one hundred twenty-four billion, four hundred million, eight hundred thousand, nine hundred one".