101100001111001 has 4 divisors (see below), whose sum is σ = 101162447067600. Its totient is φ = 101037555154404.

The previous prime is 101100001110929. The next prime is 101100001111019. The reversal of 101100001111001 is 100111100001101.

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 not a de Polignac number, because 101100001111001 - 2¹⁸ = 101100000848857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100001111001.

It is not an unprimeable number, because it can be changed into a prime (101100001111301) 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, 31222975871 + ... + 31222979108.

It is an arithmetic number, because the mean of its divisors is an integer number (25290611766900).

Almost surely, 2^{101100001111001} is an apocalyptic number.

It is an amenable number.

101100001111001 is a deficient number, since it is larger than the sum of its proper divisors (62445956599).

101100001111001 is an equidigital number, since it uses as much as digits as its factorization.

101100001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62445956598.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100001111001 its reverse (100111100001101), we get a palindrome (201211101112102).

The spelling of 101100001111001 in words is "one hundred one trillion, one hundred billion, one million, one hundred eleven thousand, one".