2116611503401 has 2 divisors, whose sum is σ = 2116611503402. Its totient is φ = 2116611503400.

The previous prime is 2116611503387. The next prime is 2116611503473. The reversal of 2116611503401 is 1043051166112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2116501232400 + 110271001 = 1454820^2 + 10501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116611503401 - 2⁷ = 2116611503273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2116611500401) 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, 1058305751700 + 1058305751701.

It is an arithmetic number, because the mean of its divisors is an integer number (1058305751701).

Almost surely, 2^{2116611503401} is an apocalyptic number.

It is an amenable number.

2116611503401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116611503401 is an equidigital number, since it uses as much as digits as its factorization.

2116611503401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 2116611503401 its reverse (1043051166112), we get a palindrome (3159662669513).

The spelling of 2116611503401 in words is "two trillion, one hundred sixteen billion, six hundred eleven million, five hundred three thousand, four hundred one".