101001100101001 has 8 divisors (see below), whose sum is σ = 101443962413120. Its totient is φ = 100558253523888.

The previous prime is 101001100100983. The next prime is 101001100101037. The reversal of 101001100101001 is 100101001100101.

It is a happy number.

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 101001100101001 - 2⁴⁵ = 65816728012169 is a prime.

It is a super-2 number, since 2×101001100101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001100101901) 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 7 ways as a sum of consecutive naturals, for example, 9025540 + ... + 16836346.

It is an arithmetic number, because the mean of its divisors is an integer number (12680495301640).

Almost surely, 2^{101001100101001} is an apocalyptic number.

It is an amenable number.

101001100101001 is a deficient number, since it is larger than the sum of its proper divisors (442862312119).

101001100101001 is an equidigital number, since it uses as much as digits as its factorization.

101001100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867503.

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

Adding to 101001100101001 its reverse (100101001100101), we get a palindrome (201102101201102).

The spelling of 101001100101001 in words is "one hundred one trillion, one billion, one hundred million, one hundred one thousand, one".