211222221212121 has 16 divisors (see below), whose sum is σ = 321936611404800. Its totient is φ = 120670594965648.

The previous prime is 211222221212099. The next prime is 211222221212129. The reversal of 211222221212121 is 121212122222112.

It is not a de Polignac number, because 211222221212121 - 2¹⁵ = 211222221179353 is a prime.

It is a super-2 number, since 2×211222221212121² (a number of 29 digits) contains 22 as substring.

211222221212121 is a modest number, since divided by 21212121 gives 2112222 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 211222221212091 and 211222221212100.

It is not an unprimeable number, because it can be changed into a prime (211222221212129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158954861 + ... + 1159137098.

It is an arithmetic number, because the mean of its divisors is an integer number (20121038212800).

Almost surely, 2^{211222221212121} is an apocalyptic number.

211222221212121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211222221212121 is a deficient number, since it is larger than the sum of its proper divisors (110714390192679).

211222221212121 is a wasteful number, since it uses less digits than its factorization.

211222221212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318096308.

The product of its digits is 512, while the sum is 24.

Adding to 211222221212121 its reverse (121212122222112), we get a palindrome (332434343434233).

The spelling of 211222221212121 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-one".