211222100021 has 16 divisors (see below), whose sum is σ = 226847971440. Its totient is φ = 195969100800.

The previous prime is 211222099969. The next prime is 211222100093. The reversal of 211222100021 is 120001222112.

211222100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 108125880625 + 103096219396 = 328825^2 + 321086^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211222100021 is a prime.

It is a super-2 number, since 2×211222100021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222099969 and 211222100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222400021) 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 15 ways as a sum of consecutive naturals, for example, 124595 + ... + 661791.

It is an arithmetic number, because the mean of its divisors is an integer number (14177998215).

Almost surely, 2^211222100021 is an apocalyptic number.

It is an amenable number.

211222100021 is a deficient number, since it is larger than the sum of its proper divisors (15625871419).

211222100021 is a wasteful number, since it uses less digits than its factorization.

211222100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537544.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211222100021 its reverse (120001222112), we get a palindrome (331223322133).

The spelling of 211222100021 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred thousand, twenty-one".