21211112000211 has 128 divisors (see below), whose sum is σ = 34376837529600. Its totient is φ = 11617798550400.

The previous prime is 21211112000209. The next prime is 21211112000213. The reversal of 21211112000211 is 11200021111212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21211112000209) and next prime (21211112000213).

It is not a de Polignac number, because 21211112000211 - 2¹ = 21211112000209 is a prime.

It is a super-2 number, since 2×21211112000211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21211112000213) 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 127 ways as a sum of consecutive naturals, for example, 4830585826 + ... + 4830590216.

It is an arithmetic number, because the mean of its divisors is an integer number (268569043200).

Almost surely, 2^{21211112000211} is an apocalyptic number.

21211112000211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21211112000211 is a deficient number, since it is larger than the sum of its proper divisors (13165725529389).

21211112000211 is a wasteful number, since it uses less digits than its factorization.

21211112000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21211112000211 its reverse (11200021111212), we get a palindrome (32411133111423).

The spelling of 21211112000211 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred eleven", and thus it is an aban number.