101001001001 has 32 divisors (see below), whose sum is σ = 108978508800.
Its totient is φ = 93270859776.
The previous prime is 101001000979. The next prime is 101001001019. The reversal of 101001001001 is 100100100101.
Adding to 101001001001 its reverse (100100100101), we get a palindrome (201101101102).
It can be divided in two parts, 10100100100 and 1, that added together give a palindrome (10100100101).
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-101001001001 is a prime.
It is a Duffinian number.
101001001001 is a modest number, since divided by 1001001 gives 101 as remainder.
It is not an unprimeable number, because it can be changed into a prime (101001001201) 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, 128336330 + ... + 128337116.
It is an arithmetic number, because the mean of its divisors is an integer number (3405578400).
Almost surely, 2101001001001 is an apocalyptic number.
It is an amenable number.
101001001001 is a deficient number, since it is larger than the sum of its proper divisors (7977507799).
101001001001 is a wasteful number, since it uses less digits than its factorization.
101001001001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1473.
The product of its (nonzero) digits is 1, while the sum is 5.
The spelling of 101001001001 in words is "one hundred one billion, one million, one thousand, one".