101101001001 has 32 divisors (see below), whose sum is σ = 180992007168. Its totient is φ = 48479999040.

The previous prime is 101101000991. The next prime is 101101001033. The reversal of 101101001001 is 100100101101.

It is not a de Polignac number, because 101101001001 - 2⁶ = 101101000937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101001041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16830331 + ... + 16836336.

It is an arithmetic number, because the mean of its divisors is an integer number (5656000224).

Almost surely, 2^101101001001 is an apocalyptic number.

101101001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101001001 is a deficient number, since it is larger than the sum of its proper divisors (79891006167).

101101001001 is a wasteful number, since it uses less digits than its factorization.

101101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666701.

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

Adding to 101101001001 its reverse (100100101101), we get a palindrome (201201102102).

It can be divided in two parts, 10110100 and 1001, that added together give a palindrome (10111101).

The spelling of 101101001001 in words is "one hundred one billion, one hundred one million, one thousand, one".