21211010100011 has 4 divisors (see below), whose sum is σ = 21212342214792. Its totient is φ = 21209677985232.

The previous prime is 21211010100001. The next prime is 21211010100023. The reversal of 21211010100011 is 11000101011212.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 21211010100011 - 2³⁰ = 21209936358187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21211010099965 and 21211010100001.

It is not an unprimeable number, because it can be changed into a prime (21211010100001) 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 3 ways as a sum of consecutive naturals, for example, 666033506 + ... + 666065351.

It is an arithmetic number, because the mean of its divisors is an integer number (5303085553698).

Almost surely, 2^{21211010100011} is an apocalyptic number.

21211010100011 is a deficient number, since it is larger than the sum of its proper divisors (1332114781).

21211010100011 is a wasteful number, since it uses less digits than its factorization.

21211010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332114780.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21211010100011 its reverse (11000101011212), we get a palindrome (32211111111223).

The spelling of 21211010100011 in words is "twenty-one trillion, two hundred eleven billion, ten million, one hundred thousand, eleven".