101001001011001 has 64 divisors (see below), whose sum is σ = 124899231744000. Its totient is φ = 79534607682816.

The previous prime is 101001001010969. The next prime is 101001001011023. The reversal of 101001001011001 is 100110100100101.

It is a happy number.

It is not a de Polignac number, because 101001001011001 - 2⁵ = 101001001010969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101001001011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37927524396 + ... + 37927527058.

It is an arithmetic number, because the mean of its divisors is an integer number (1951550496000).

Almost surely, 2^{101001001011001} is an apocalyptic number.

It is an amenable number.

101001001011001 is a deficient number, since it is larger than the sum of its proper divisors (23898230732999).

101001001011001 is a wasteful number, since it uses less digits than its factorization.

101001001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001001011001 its reverse (100110100100101), we get a palindrome (201111101111102).

It can be divided in two parts, 10100100101 and 1001, that multiplied together give a palindrome (10110200201101).

The spelling of 101001001011001 in words is "one hundred one trillion, one billion, one million, eleven thousand, one".