2701631086201 has 2 divisors, whose sum is σ = 2701631086202. Its totient is φ = 2701631086200.

The previous prime is 2701631086159. The next prime is 2701631086223. The reversal of 2701631086201 is 1026801361072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2125282887225 + 576348198976 = 1457835^2 + 759176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2701631086201 - 2⁹ = 2701631085689 is a prime.

It is a super-2 number, since 2×2701631086201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2701631086501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1350815543100 + 1350815543101.

It is an arithmetic number, because the mean of its divisors is an integer number (1350815543101).

Almost surely, 2^{2701631086201} is an apocalyptic number.

It is an amenable number.

2701631086201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2701631086201 is an equidigital number, since it uses as much as digits as its factorization.

2701631086201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 2701631086201 in words is "two trillion, seven hundred one billion, six hundred thirty-one million, eighty-six thousand, two hundred one".