1002011101101 has 20 divisors (see below), whose sum is σ = 1510077707292. Its totient is φ = 662095824768.

The previous prime is 1002011101067. The next prime is 1002011101111. The reversal of 1002011101101 is 1011011102001.

It can be written as a sum of positive squares in 2 ways, for example, as 470753793225 + 531257307876 = 686115^2 + 728874^2 .

It is not a de Polignac number, because 1002011101101 - 2¹⁴ = 1002011084717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002011101111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54727606 + ... + 54745911.

Almost surely, 2^{1002011101101} is an apocalyptic number.

It is an amenable number.

1002011101101 is a deficient number, since it is larger than the sum of its proper divisors (508066606191).

1002011101101 is a wasteful number, since it uses less digits than its factorization.

1002011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109473642 (or 109473633 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1002011101101 its reverse (1011011102001), we get a palindrome (2013022203102).

The spelling of 1002011101101 in words is "one trillion, two billion, eleven million, one hundred one thousand, one hundred one".