101010001001 has 32 divisors (see below), whose sum is σ = 127823410176. Its totient is φ = 77682240000.

The previous prime is 101010000997. The next prime is 101010001009. The reversal of 101010001001 is 100100010101.

It is a cyclic number.

It is not a de Polignac number, because 101010001001 - 2² = 101010000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961151 + ... + 1061051.

It is an arithmetic number, because the mean of its divisors is an integer number (3994481568).

Almost surely, 2^101010001001 is an apocalyptic number.

It is an amenable number.

101010001001 is a deficient number, since it is larger than the sum of its proper divisors (26813409175).

101010001001 is a wasteful number, since it uses less digits than its factorization.

101010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100233.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101010001001 its reverse (100100010101), we get a palindrome (201110011102).

The spelling of 101010001001 in words is "one hundred one billion, ten million, one thousand, one".