101112221100089 has 2 divisors, whose sum is σ = 101112221100090. Its totient is φ = 101112221100088.

The previous prime is 101112221100017. The next prime is 101112221100103. The reversal of 101112221100089 is 980001122211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65876030124025 + 35236190976064 = 8116405^2 + 5936008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112221100089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112221100689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556110550044 + 50556110550045.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110550045).

Almost surely, 2^{101112221100089} is an apocalyptic number.

It is an amenable number.

101112221100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112221100089 is an equidigital number, since it uses as much as digits as its factorization.

101112221100089 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 101112221100089 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred thousand, eighty-nine".