1001110001101 has 18 divisors (see below), whose sum is σ = 1217390886222. Its totient is φ = 820785818160.

The previous prime is 1001110001041. The next prime is 1001110001113. The reversal of 1001110001101 is 1011000111001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 772463452201 + 228646548900 = 878899^2 + 478170^2 .

It is not a de Polignac number, because 1001110001101 - 2⁷ = 1001110000973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110001161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19284870 + ... + 19336711.

Almost surely, 2^{1001110001101} is an apocalyptic number.

It is an amenable number.

1001110001101 is a deficient number, since it is larger than the sum of its proper divisors (216280885121).

1001110001101 is an equidigital number, since it uses as much as digits as its factorization.

1001110001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38621641 (or 38621611 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001110001101 its reverse (1011000111001), we get a palindrome (2012110112102).

The spelling of 1001110001101 in words is "one trillion, one billion, one hundred ten million, one thousand, one hundred one".