1001102110011 has 12 divisors (see below), whose sum is σ = 1446063397480. Its totient is φ = 667388937600.

The previous prime is 1001102109941. The next prime is 1001102110033. The reversal of 1001102110011 is 1100112011001.

It is not a de Polignac number, because 1001102110011 - 2²³ = 1001093721403 is a prime.

It is a super-3 number, since 3×1001102110011³ (a number of 37 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102109975 and 1001102110002.

It is not an unprimeable number, because it can be changed into a prime (1001102112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516790 + ... + 1506411.

Almost surely, 2^{1001102110011} is an apocalyptic number.

1001102110011 is a deficient number, since it is larger than the sum of its proper divisors (444961287469).

1001102110011 is a wasteful number, since it uses less digits than its factorization.

1001102110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078186 (or 2078183 counting only the distinct ones).

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

Adding to 1001102110011 its reverse (1100112011001), we get a palindrome (2101214121012).

The spelling of 1001102110011 in words is "one trillion, one billion, one hundred two million, one hundred ten thousand, eleven".