1010000001101 has 16 divisors (see below), whose sum is σ = 1248651285504. Its totient is φ = 795537362304.

The previous prime is 1010000001071. The next prime is 1010000001151. The reversal of 1010000001101 is 1011000000101.

1010000001101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010000001101 - 2²⁶ = 1009932892237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24865136 + ... + 24905721.

It is an arithmetic number, because the mean of its divisors is an integer number (78040705344).

Almost surely, 2^{1010000001101} is an apocalyptic number.

It is an amenable number.

1010000001101 is a deficient number, since it is larger than the sum of its proper divisors (238651284403).

1010000001101 is a wasteful number, since it uses less digits than its factorization.

1010000001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49771100.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010000001101 its reverse (1011000000101), we get a palindrome (2021000001202).

The spelling of 1010000001101 in words is "one trillion, ten billion, one thousand, one hundred one".