211221421000 has 32 divisors (see below), whose sum is σ = 494258127480. Its totient is φ = 84488568000.

The previous prime is 211221420983. The next prime is 211221421003. The reversal of 211221421000 is 124122112.

211221421000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31975877124 + 179245543876 = 178818^2 + 423374^2 .

It is a super-2 number, since 2×211221421000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221421003) 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 7 ways as a sum of consecutive naturals, for example, 105609711 + ... + 105611710.

Almost surely, 2^211221421000 is an apocalyptic number.

211221421000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221421000 is an abundant number, since it is smaller than the sum of its proper divisors (283036706480).

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

211221421000 is a wasteful number, since it uses less digits than its factorization.

211221421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211221442 (or 211221428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211221421000 its reverse (124122112), we get a palindrome (211345543112).

The spelling of 211221421000 in words is "two hundred eleven billion, two hundred twenty-one million, four hundred twenty-one thousand".