1001100111101 has 32 divisors (see below), whose sum is σ = 1104464486400. Its totient is φ = 904473915840.

The previous prime is 1001100111079. The next prime is 1001100111107. The reversal of 1001100111101 is 1011110011001.

It is a cyclic number.

It is not a de Polignac number, because 1001100111101 - 2³⁴ = 983920241917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100111107) 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, 5110910 + ... + 5303168.

It is an arithmetic number, because the mean of its divisors is an integer number (34514515200).

Almost surely, 2^{1001100111101} is an apocalyptic number.

It is an amenable number.

1001100111101 is a deficient number, since it is larger than the sum of its proper divisors (103364375299).

1001100111101 is a wasteful number, since it uses less digits than its factorization.

1001100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192489.

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

Adding to 1001100111101 its reverse (1011110011001), we get a palindrome (2012210122102).

The spelling of 1001100111101 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred one".