101100101001001 has 4 divisors (see below), whose sum is σ = 101147277905152. Its totient is φ = 101052924096852.

The previous prime is 101100101000963. The next prime is 101100101001007. The reversal of 101100101001001 is 100100101001101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100101001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100101001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23588448861 + ... + 23588453146.

It is an arithmetic number, because the mean of its divisors is an integer number (25286819476288).

Almost surely, 2^{101100101001001} is an apocalyptic number.

It is an amenable number.

101100101001001 is a deficient number, since it is larger than the sum of its proper divisors (47176904151).

101100101001001 is an equidigital number, since it uses as much as digits as its factorization.

101100101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47176904150.

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

Adding to 101100101001001 its reverse (100100101001101), we get a palindrome (201200202002102).

The spelling of 101100101001001 in words is "one hundred one trillion, one hundred billion, one hundred one million, one thousand, one".