2221121111081 has 2 divisors, whose sum is σ = 2221121111082. Its totient is φ = 2221121111080.

The previous prime is 2221121111059. The next prime is 2221121111113. The reversal of 2221121111081 is 1801111211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1214492161600 + 1006628949481 = 1102040^2 + 1003309^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221121111081 - 2³⁴ = 2203941241897 is a prime.

It is a super-3 number, since 3×2221121111081³ (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 (2221121111681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110560555540 + 1110560555541.

It is an arithmetic number, because the mean of its divisors is an integer number (1110560555541).

Almost surely, 2^{2221121111081} is an apocalyptic number.

It is an amenable number.

2221121111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221121111081 is an equidigital number, since it uses as much as digits as its factorization.

2221121111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 2221121111081 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, eighty-one".