211221002000 has 80 divisors (see below), whose sum is σ = 510932607744. Its totient is φ = 84455280000.

The previous prime is 211221001993. The next prime is 211221002039. The reversal of 211221002000 is 200122112.

It is a happy number.

211221002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211221002000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5442665 + ... + 5481335.

Almost surely, 2^211221002000 is an apocalyptic number.

211221002000 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 211221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255466303872).

211221002000 is an abundant number, since it is smaller than the sum of its proper divisors (299711605744).

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

211221002000 is a wasteful number, since it uses less digits than its factorization.

211221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41425 (or 41409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211221002000 its reverse (200122112), we get a palindrome (211421124112).

The spelling of 211221002000 in words is "two hundred eleven billion, two hundred twenty-one million, two thousand".