101012020891189 has 2 divisors, whose sum is σ = 101012020891190. Its totient is φ = 101012020891188.

The previous prime is 101012020891153. The next prime is 101012020891217. The reversal of 101012020891189 is 981198020210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63167254615089 + 37844766276100 = 7947783^2 + 6151810^2 .

It is an emirp because it is prime and its reverse (981198020210101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012020891189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012020891109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010445594 + 50506010445595.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010445595).

Almost surely, 2^{101012020891189} is an apocalyptic number.

It is an amenable number.

101012020891189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012020891189 is an equidigital number, since it uses as much as digits as its factorization.

101012020891189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 43.

The spelling of 101012020891189 in words is "one hundred one trillion, twelve billion, twenty million, eight hundred ninety-one thousand, one hundred eighty-nine".