211211201221000 has 256 divisors, whose sum is σ = 502465384512000. Its totient is φ = 83083753984000.

The previous prime is 211211201220997. The next prime is 211211201221037. The reversal of 211211201221000 is 122102112112.

It is a super-2 number, since 2×211211201221000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91950891852 + ... + 91950894148.

It is an arithmetic number, because the mean of its divisors is an integer number (1962755408250).

Almost surely, 2^{211211201221000} is an apocalyptic number.

211211201221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251232692256000).

211211201221000 is an abundant number, since it is smaller than the sum of its proper divisors (291254183291000).

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

211211201221000 is a wasteful number, since it uses less digits than its factorization.

211211201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211211201221000 its reverse (122102112112), we get a palindrome (211333303333112).

The spelling of 211211201221000 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred one million, two hundred twenty-one thousand".