21000011101011 has 12 divisors (see below), whose sum is σ = 30365380372392. Its totient is φ = 13985223860256.

The previous prime is 21000011100997. The next prime is 21000011101051. The reversal of 21000011101011 is 11010111000012.

It is not a de Polignac number, because 21000011101011 - 2⁶ = 21000011100947 is a prime.

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 = 21000011100984 and 21000011101002.

It is not an unprimeable number, because it can be changed into a prime (21000011101051) 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, 1231952706 + ... + 1231969751.

It is an arithmetic number, because the mean of its divisors is an integer number (2530448364366).

Almost surely, 2^{21000011101011} is an apocalyptic number.

21000011101011 is a deficient number, since it is larger than the sum of its proper divisors (9365369271381).

21000011101011 is a wasteful number, since it uses less digits than its factorization.

21000011101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463923410 (or 2463923407 counting only the distinct ones).

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

Adding to 21000011101011 its reverse (11010111000012), we get a palindrome (32010122101023).

The spelling of 21000011101011 in words is "twenty-one trillion, eleven million, one hundred one thousand, eleven".