1012112121089 has 2 divisors, whose sum is σ = 1012112121090. Its totient is φ = 1012112121088.

The previous prime is 1012112121073. The next prime is 1012112121107. The reversal of 1012112121089 is 9801212112101.

1012112121089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 888179959489 + 123932161600 = 942433^2 + 352040^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012112121089 - 2⁴ = 1012112121073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012112129089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506056060544 + 506056060545.

It is an arithmetic number, because the mean of its divisors is an integer number (506056060545).

Almost surely, 2^{1012112121089} is an apocalyptic number.

It is an amenable number.

1012112121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012112121089 is an equidigital number, since it uses as much as digits as its factorization.

1012112121089 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 29.

The spelling of 1012112121089 in words is "one trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, eighty-nine".