1001121110089 has 2 divisors, whose sum is σ = 1001121110090. Its totient is φ = 1001121110088.

The previous prime is 1001121110051. The next prime is 1001121110113. The reversal of 1001121110089 is 9800111211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 948076110864 + 53044999225 = 973692^2 + 230315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121110089 - 2³⁹ = 451365296201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001121117089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560555044 + 500560555045.

It is an arithmetic number, because the mean of its divisors is an integer number (500560555045).

Almost surely, 2^{1001121110089} is an apocalyptic number.

It is an amenable number.

1001121110089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121110089 is an equidigital number, since it uses as much as digits as its factorization.

1001121110089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 1001121110089 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten thousand, eighty-nine".