1101012112289 has 2 divisors, whose sum is σ = 1101012112290. Its totient is φ = 1101012112288.

The previous prime is 1101012112243. The next prime is 1101012112327. The reversal of 1101012112289 is 9822112101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099369026064 + 1643086225 = 1048508^2 + 40535^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101012112289 - 2¹⁶ = 1101012046753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101012112589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550506056144 + 550506056145.

It is an arithmetic number, because the mean of its divisors is an integer number (550506056145).

Almost surely, 2^{1101012112289} is an apocalyptic number.

It is an amenable number.

1101012112289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101012112289 is an equidigital number, since it uses as much as digits as its factorization.

1101012112289 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 1101012112289 in words is "one trillion, one hundred one billion, twelve million, one hundred twelve thousand, two hundred eighty-nine".