211211210221120 has 28 divisors (see below), whose sum is σ = 502946694339804. Its totient is φ = 84484484088320.

The previous prime is 211211210221111. The next prime is 211211210221147. The reversal of 211211210221120 is 21122012112112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39501426120256 + 171709784100864 = 6285016^2 + 13103808^2 .

It is a super-2 number, since 2×211211210221120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330017515651 + ... + 330017516290.

Almost surely, 2^{211211210221120} is an apocalyptic number.

211211210221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211210221120 is an abundant number, since it is smaller than the sum of its proper divisors (291735484118684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211211210221120 is an equidigital number, since it uses as much as digits as its factorization.

211211210221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660035031958 (or 660035031948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211211210221120 its reverse (21122012112112), we get a palindrome (232333222333232).

The spelling of 211211210221120 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".