21212100100011 has 8 divisors (see below), whose sum is σ = 29047200137104. Its totient is φ = 13759200064800.

The previous prime is 21212100099947. The next prime is 21212100100063. The reversal of 21212100100011 is 11000100121212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21212100100011 - 2⁶ = 21212100099947 is a prime.

It is a super-3 number, since 3×21212100100011³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21212100100011.

It is not an unprimeable number, because it can be changed into a prime (21212100108011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95550000340 + ... + 95550000561.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900017138).

Almost surely, 2^{21212100100011} is an apocalyptic number.

21212100100011 is a deficient number, since it is larger than the sum of its proper divisors (7835100037093).

21212100100011 is a wasteful number, since it uses less digits than its factorization.

21212100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191100000941.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21212100100011 its reverse (11000100121212), we get a palindrome (32212200221223).

The spelling of 21212100100011 in words is "twenty-one trillion, two hundred twelve billion, one hundred million, one hundred thousand, eleven".