101011010191001 has 2 divisors, whose sum is σ = 101011010191002. Its totient is φ = 101011010191000.

The previous prime is 101011010190997. The next prime is 101011010191027. The reversal of 101011010191001 is 100191010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100933267368025 + 77742822976 = 10046555^2 + 278824^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011010191001 - 2² = 101011010190997 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011010191061) 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, 50505505095500 + 50505505095501.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505095501).

Almost surely, 2^{101011010191001} is an apocalyptic number.

It is an amenable number.

101011010191001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011010191001 is an equidigital number, since it uses as much as digits as its factorization.

101011010191001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101011010191001 in words is "one hundred one trillion, eleven billion, ten million, one hundred ninety-one thousand, one".