1000011001101 has 128 divisors (see below), whose sum is σ = 1624992261120. Its totient is φ = 535051173888.

The previous prime is 1000011001097. The next prime is 1000011001139. The reversal of 1000011001101 is 1011001100001.

It is not a de Polignac number, because 1000011001101 - 2² = 1000011001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000011001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011001181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 688238091 + ... + 688239543.

It is an arithmetic number, because the mean of its divisors is an integer number (12695252040).

Almost surely, 2^{1000011001101} is an apocalyptic number.

It is an amenable number.

1000011001101 is a deficient number, since it is larger than the sum of its proper divisors (624981260019).

1000011001101 is a wasteful number, since it uses less digits than its factorization.

1000011001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815.

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

Adding to 1000011001101 its reverse (1011001100001), we get a palindrome (2011012101102).

The spelling of 1000011001101 in words is "one trillion, eleven million, one thousand, one hundred one".