21212110102211 has 32 divisors (see below), whose sum is σ = 25865674168320. Its totient is φ = 16980917999616.

The previous prime is 21212110102199. The next prime is 21212110102213. The reversal of 21212110102211 is 11220101121212.

It is a cyclic number.

It is not a de Polignac number, because 21212110102211 - 2¹⁴ = 21212110085827 is a prime.

It is a super-3 number, since 3×21212110102211³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 21212110102211.

It is not an unprimeable number, because it can be changed into a prime (21212110102213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33813275 + ... + 34434891.

It is an arithmetic number, because the mean of its divisors is an integer number (808302317760).

Almost surely, 2^{21212110102211} is an apocalyptic number.

21212110102211 is a deficient number, since it is larger than the sum of its proper divisors (4653564066109).

21212110102211 is a wasteful number, since it uses less digits than its factorization.

21212110102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623843.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21212110102211 its reverse (11220101121212), we get a palindrome (32432211223423).

The spelling of 21212110102211 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand, two hundred eleven".