2211011111081 has 2 divisors, whose sum is σ = 2211011111082. Its totient is φ = 2211011111080.

The previous prime is 2211011111069. The next prime is 2211011111117. The reversal of 2211011111081 is 1801111101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1372843395856 + 838167715225 = 1171684^2 + 915515^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211011111081 - 2¹⁰ = 2211011110057 is a prime.

It is a super-3 number, since 3×2211011111081³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2211011111011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105505555540 + 1105505555541.

It is an arithmetic number, because the mean of its divisors is an integer number (1105505555541).

Almost surely, 2^{2211011111081} is an apocalyptic number.

It is an amenable number.

2211011111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211011111081 is an equidigital number, since it uses as much as digits as its factorization.

2211011111081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

The spelling of 2211011111081 in words is "two trillion, two hundred eleven billion, eleven million, one hundred eleven thousand, eighty-one".