101000011001 has 8 divisors (see below), whose sum is σ = 104372548608. Its totient is φ = 97634628000.

The previous prime is 101000010983. The next prime is 101000011037. The reversal of 101000011001 is 100110000101.

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

It is a cyclic number.

It is not a de Polignac number, because 101000011001 - 2¹⁴ = 100999994617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1759940 + ... + 1816421.

It is an arithmetic number, because the mean of its divisors is an integer number (13046568576).

Almost surely, 2^101000011001 is an apocalyptic number.

It is an amenable number.

101000011001 is a deficient number, since it is larger than the sum of its proper divisors (3372537607).

101000011001 is an equidigital number, since it uses as much as digits as its factorization.

101000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577303.

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

Adding to 101000011001 its reverse (100110000101), we get a palindrome (201110011102).

The spelling of 101000011001 in words is "one hundred one billion, eleven thousand, one".