101001010009001 has 2 divisors, whose sum is σ = 101001010009002. Its totient is φ = 101001010009000.

The previous prime is 101001010008961. The next prime is 101001010009051. The reversal of 101001010009001 is 100900010100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93909201336976 + 7091808672025 = 9690676^2 + 2663045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001010009001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001010009051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505004500 + 50500505004501.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505004501).

Almost surely, 2^{101001010009001} is an apocalyptic number.

It is an amenable number.

101001010009001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010009001 is an equidigital number, since it uses as much as digits as its factorization.

101001010009001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 101001010009001 its reverse (100900010100101), we get a palindrome (201901020109102).

The spelling of 101001010009001 in words is "one hundred one trillion, one billion, ten million, nine thousand, one".