211301022000 has 320 divisors, whose sum is σ = 705505701888. Its totient is φ = 54351360000.

The previous prime is 211301021993. The next prime is 211301022071. The reversal of 211301022000 is 220103112.

211301022000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62680315 + ... + 62683685.

Almost surely, 2^211301022000 is an apocalyptic number.

211301022000 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 211301022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352752850944).

211301022000 is an abundant number, since it is smaller than the sum of its proper divisors (494204679888).

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

211301022000 is a wasteful number, since it uses less digits than its factorization.

211301022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211301022000 its reverse (220103112), we get a palindrome (211521125112).

The spelling of 211301022000 in words is "two hundred eleven billion, three hundred one million, twenty-two thousand".