101001121112189 has 2 divisors, whose sum is σ = 101001121112190. Its totient is φ = 101001121112188.

The previous prime is 101001121112173. The next prime is 101001121112233. The reversal of 101001121112189 is 981211121100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92070837576025 + 8930283536164 = 9595355^2 + 2988358^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001121112189 - 2⁴ = 101001121112173 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101009121112189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500560556094 + 50500560556095.

It is an arithmetic number, because the mean of its divisors is an integer number (50500560556095).

Almost surely, 2^{101001121112189} is an apocalyptic number.

It is an amenable number.

101001121112189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001121112189 is an equidigital number, since it uses as much as digits as its factorization.

101001121112189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 29.

The spelling of 101001121112189 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eighty-nine".