2122111121089 has 2 divisors, whose sum is σ = 2122111121090. Its totient is φ = 2122111121088.

The previous prime is 2122111121041. The next prime is 2122111121101. The reversal of 2122111121089 is 9801211112212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607113998400 + 514997122689 = 1267720^2 + 717633^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122111121089 - 2²⁵ = 2122077566657 is a prime.

It is a super-2 number, since 2×2122111121089² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122111121089.

It is not a weakly prime, because it can be changed into another prime (2122111121789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055560544 + 1061055560545.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055560545).

Almost surely, 2^{2122111121089} is an apocalyptic number.

It is an amenable number.

2122111121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111121089 is an equidigital number, since it uses as much as digits as its factorization.

2122111121089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 2122111121089 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, eighty-nine".