21111100311 has 32 divisors (see below), whose sum is σ = 32793624576. Its totient is φ = 11831148000.

The previous prime is 21111100289. The next prime is 21111100343. The reversal of 21111100311 is 11300111112.

It is not a de Polignac number, because 21111100311 - 2⁹ = 21111099799 is a prime.

It is a super-2 number, since 2×21111100311² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111100411) 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 31 ways as a sum of consecutive naturals, for example, 247716 + ... + 321846.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800768).

Almost surely, 2^21111100311 is an apocalyptic number.

21111100311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21111100311 is a deficient number, since it is larger than the sum of its proper divisors (11682524265).

21111100311 is a wasteful number, since it uses less digits than its factorization.

21111100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74403.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21111100311 its reverse (11300111112), we get a palindrome (32411211423).

The spelling of 21111100311 in words is "twenty-one billion, one hundred eleven million, one hundred thousand, three hundred eleven".