21100000210211 has 8 divisors (see below), whose sum is σ = 22957335678144. Its totient is φ = 19276130246400.

The previous prime is 21100000210127. The next prime is 21100000210241. The reversal of 21100000210211 is 11201200000112.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100000210211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100000210192 and 21100000210201.

It is not an unprimeable number, because it can be changed into a prime (21100000210241) 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 7 ways as a sum of consecutive naturals, for example, 8366374715 + ... + 8366377236.

It is an arithmetic number, because the mean of its divisors is an integer number (2869666959768).

Almost surely, 2^{21100000210211} is an apocalyptic number.

21100000210211 is a deficient number, since it is larger than the sum of its proper divisors (1857335467933).

21100000210211 is a wasteful number, since it uses less digits than its factorization.

21100000210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16732752061.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21100000210211 its reverse (11201200000112), we get a palindrome (32301200210323).

The spelling of 21100000210211 in words is "twenty-one trillion, one hundred billion, two hundred ten thousand, two hundred eleven".