20111001001011 has 48 divisors (see below), whose sum is σ = 30784953925440. Its totient is φ = 12607615180800.

The previous prime is 20111001001001. The next prime is 20111001001027. The reversal of 20111001001011 is 11010010011102.

It is not a de Polignac number, because 20111001001011 - 2⁶ = 20111001000947 is a prime.

It is a super-2 number, since 2×20111001001011² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20111001000984 and 20111001001002.

It is not an unprimeable number, because it can be changed into a prime (20111001001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887147385 + ... + 887170053.

It is an arithmetic number, because the mean of its divisors is an integer number (641353206780).

Almost surely, 2^{20111001001011} is an apocalyptic number.

20111001001011 is a deficient number, since it is larger than the sum of its proper divisors (10673952924429).

20111001001011 is a wasteful number, since it uses less digits than its factorization.

20111001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27516 (or 27513 counting only the distinct ones).

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

Adding to 20111001001011 its reverse (11010010011102), we get a palindrome (31121011012113).

The spelling of 20111001001011 in words is "twenty trillion, one hundred eleven billion, one million, one thousand, eleven".