221011212011000 has 256 divisors, whose sum is σ = 530602040517120. Its totient is φ = 86125424640000.

The previous prime is 221011212010993. The next prime is 221011212011021. The reversal of 221011212011000 is 110212110122.

It is a congruent number.

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, 46814488640 + ... + 46814493360.

It is an arithmetic number, because the mean of its divisors is an integer number (2072664220770).

Almost surely, 2^{221011212011000} is an apocalyptic number.

221011212011000 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 221011212011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265301020258560).

221011212011000 is an abundant number, since it is smaller than the sum of its proper divisors (309590828506120).

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

221011212011000 is a wasteful number, since it uses less digits than its factorization.

221011212011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221011212011000 its reverse (110212110122), we get a palindrome (221121424121122).

The spelling of 221011212011000 in words is "two hundred twenty-one trillion, eleven billion, two hundred twelve million, eleven thousand".