101100100001001 has 32 divisors (see below), whose sum is σ = 137342089662720. Its totient is φ = 66134639980800.

The previous prime is 101100100000993. The next prime is 101100100001093. The reversal of 101100100001001 is 100100001001101.

It is not a de Polignac number, because 101100100001001 - 2³ = 101100100000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100100001501) 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, 124449991 + ... + 125259731.

It is an arithmetic number, because the mean of its divisors is an integer number (4291940301960).

Almost surely, 2^{101100100001001} is an apocalyptic number.

It is an amenable number.

101100100001001 is a deficient number, since it is larger than the sum of its proper divisors (36241989661719).

101100100001001 is an equidigital number, since it uses as much as digits as its factorization.

101100100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811457.

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

Adding to 101100100001001 its reverse (100100001001101), we get a palindrome (201200101002102).

It can be divided in two parts, 101 and 100100001001, that multiplied together give a palindrome (10110100101101).

The spelling of 101100100001001 in words is "one hundred one trillion, one hundred billion, one hundred million, one thousand, one".