211221110221000 has 128 divisors (see below), whose sum is σ = 544528405249920. Its totient is φ = 76047204000000.

The previous prime is 211221110220983. The next prime is 211221110221003. The reversal of 211221110221000 is 122011122112.

It is a super-2 number, since 2×211221110221000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221110221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93948006 + ... + 96170005.

It is an arithmetic number, because the mean of its divisors is an integer number (4254128166015).

Almost surely, 2^{211221110221000} is an apocalyptic number.

211221110221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221110221000 is an abundant number, since it is smaller than the sum of its proper divisors (333307295028920).

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

211221110221000 is a wasteful number, since it uses less digits than its factorization.

211221110221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190118144 (or 190118130 counting only the distinct ones).

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

Adding to 211221110221000 its reverse (122011122112), we get a palindrome (211343121343112).

The spelling of 211221110221000 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand".