101100001001 has 4 divisors (see below), whose sum is σ = 102813560400. Its totient is φ = 99386441604.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100001001 is 100100001101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100100001101 = 197 ⋅508121833.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100001031) 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 3 ways as a sum of consecutive naturals, for example, 856779611 + ... + 856779728.

It is an arithmetic number, because the mean of its divisors is an integer number (25703390100).

Almost surely, 2^101100001001 is an apocalyptic number.

It is an amenable number.

101100001001 is a deficient number, since it is larger than the sum of its proper divisors (1713559399).

101100001001 is an equidigital number, since it uses as much as digits as its factorization.

101100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713559398.

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

Adding to 101100001001 its reverse (100100001101), we get a palindrome (201200002102).

The spelling of 101100001001 in words is "one hundred one billion, one hundred million, one thousand, one".