2201127212761 has 2 divisors, whose sum is σ = 2201127212762. Its totient is φ = 2201127212760.

The previous prime is 2201127212743. The next prime is 2201127212773. The reversal of 2201127212761 is 1672127211022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1661343122761 + 539784090000 = 1288931^2 + 734700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201127212761 - 2¹⁹ = 2201126688473 is a prime.

It is a super-2 number, since 2×2201127212761² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2201127212461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100563606380 + 1100563606381.

It is an arithmetic number, because the mean of its divisors is an integer number (1100563606381).

Almost surely, 2^{2201127212761} is an apocalyptic number.

It is an amenable number.

2201127212761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201127212761 is an equidigital number, since it uses as much as digits as its factorization.

2201127212761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 2201127212761 in words is "two trillion, two hundred one billion, one hundred twenty-seven million, two hundred twelve thousand, seven hundred sixty-one".