2201111020081 has 2 divisors, whose sum is σ = 2201111020082. Its totient is φ = 2201111020080.

The previous prime is 2201111020079. The next prime is 2201111020111. The reversal of 2201111020081 is 1800201111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1893951211681 + 307159808400 = 1376209^2 + 554220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201111020081 - 2¹ = 2201111020079 is a prime.

It is a super-2 number, since 2×2201111020081² (a number of 25 digits) contains 22 as substring.

Together with 2201111020079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2201111020681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100555510040 + 1100555510041.

It is an arithmetic number, because the mean of its divisors is an integer number (1100555510041).

Almost surely, 2^{2201111020081} is an apocalyptic number.

It is an amenable number.

2201111020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201111020081 is an equidigital number, since it uses as much as digits as its factorization.

2201111020081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 2201111020081 in words is "two trillion, two hundred one billion, one hundred eleven million, twenty thousand, eighty-one".