1001001100101 has 32 divisors (see below), whose sum is σ = 1442993833728. Its totient is φ = 614953267200.

The previous prime is 1001001100087. The next prime is 1001001100123. The reversal of 1001001100101 is 1010011001001.

It is not a de Polignac number, because 1001001100101 - 2¹⁵ = 1001001067333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001001100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001100181) 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, 471225 + ... + 1491326.

It is an arithmetic number, because the mean of its divisors is an integer number (45093557304).

Almost surely, 2^{1001001100101} is an apocalyptic number.

It is an amenable number.

1001001100101 is a deficient number, since it is larger than the sum of its proper divisors (441992733627).

1001001100101 is a wasteful number, since it uses less digits than its factorization.

1001001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962781.

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

Adding to 1001001100101 its reverse (1010011001001), we get a palindrome (2011012101102).

The spelling of 1001001100101 in words is "one trillion, one billion, one million, one hundred thousand, one hundred one".