101111001101001 has 12 divisors (see below), whose sum is σ = 146979473647812. Its totient is φ = 66977987989536.

The previous prime is 101111001100961. The next prime is 101111001101029. The reversal of 101111001101001 is 100101100111101.

It can be written as a sum of positive squares in 2 ways, for example, as 9536608659600 + 91574392441401 = 3088140^2 + 9569451^2 .

It is not a de Polignac number, because 101111001101001 - 2⁹ = 101111001100489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101111001101041) 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 11 ways as a sum of consecutive naturals, for example, 35778838326 + ... + 35778841151.

It is an arithmetic number, because the mean of its divisors is an integer number (12248289470651).

Almost surely, 2^{101111001101001} is an apocalyptic number.

It is an amenable number.

101111001101001 is a deficient number, since it is larger than the sum of its proper divisors (45868472546811).

101111001101001 is a wasteful number, since it uses less digits than its factorization.

101111001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71557679640 (or 71557679637 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111001101001 its reverse (100101100111101), we get a palindrome (201212101212102).

The spelling of 101111001101001 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred one thousand, one".