21000100011 has 16 divisors (see below), whose sum is σ = 31530943488. Its totient is φ = 12316773600.

The previous prime is 21000100003. The next prime is 21000100031. The reversal of 21000100011 is 11000100012.

It is not a de Polignac number, because 21000100011 - 2³ = 21000100003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21000100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10262956 + ... + 10265001.

It is an arithmetic number, because the mean of its divisors is an integer number (1970683968).

Almost surely, 2^21000100011 is an apocalyptic number.

21000100011 is a deficient number, since it is larger than the sum of its proper divisors (10530843477).

21000100011 is a wasteful number, since it uses less digits than its factorization.

21000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528002.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21000100011 its reverse (11000100012), we get a palindrome (32000200023).

Subtracting from 21000100011 its reverse (11000100012), we obtain a palindrome (9999999999).

The spelling of 21000100011 in words is "twenty-one billion, one hundred thousand, eleven".