211002112221000 has 512 divisors, whose sum is σ = 688964600862720. Its totient is φ = 53708734464000.

The previous prime is 211002112220983. The next prime is 211002112221007. The reversal of 211002112221000 is 122211200112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211002112221007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28540793304 + ... + 28540800696.

It is an arithmetic number, because the mean of its divisors is an integer number (1345633986060).

Almost surely, 2^{211002112221000} is an apocalyptic number.

211002112221000 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 211002112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344482300431360).

211002112221000 is an abundant number, since it is smaller than the sum of its proper divisors (477962488641720).

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

211002112221000 is a wasteful number, since it uses less digits than its factorization.

211002112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211002112221000 its reverse (122211200112), we get a palindrome (211124323421112).

The spelling of 211002112221000 in words is "two hundred eleven trillion, two billion, one hundred twelve million, two hundred twenty-one thousand".