21112111121089 has 2 divisors, whose sum is σ = 21112111121090. Its totient is φ = 21112111121088.

The previous prime is 21112111121083. The next prime is 21112111121137. The reversal of 21112111121089 is 98012111121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17071275427600 + 4040835693489 = 4131740^2 + 2010183^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112111121089 - 2³ = 21112111121081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21112111121089.

It is not a weakly prime, because it can be changed into another prime (21112111121081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556055560544 + 10556055560545.

It is an arithmetic number, because the mean of its divisors is an integer number (10556055560545).

Almost surely, 2^{21112111121089} is an apocalyptic number.

It is an amenable number.

21112111121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112111121089 is an equidigital number, since it uses as much as digits as its factorization.

21112111121089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 31.

The spelling of 21112111121089 in words is "twenty-one trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, eighty-nine".