101001001010001 has 8 divisors (see below), whose sum is σ = 134669248231584. Its totient is φ = 67333377230880.

The previous prime is 101001001009949. The next prime is 101001001010011. The reversal of 101001001010001 is 100010100100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101001001010001 - 2¹⁰ = 101001001008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001001010011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155482471 + ... + 156130716.

It is an arithmetic number, because the mean of its divisors is an integer number (16833656028948).

Almost surely, 2^{101001001010001} is an apocalyptic number.

It is an amenable number.

101001001010001 is a deficient number, since it is larger than the sum of its proper divisors (33668247221583).

101001001010001 is a wasteful number, since it uses less digits than its factorization.

101001001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311721231.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101001001010001 its reverse (100010100100101), we get a palindrome (201011101110102).

The spelling of 101001001010001 in words is "one hundred one trillion, one billion, one million, ten thousand, one".