221200011011000 has 384 divisors, whose sum is σ = 625349291673600. Its totient is φ = 72968267500800.

The previous prime is 221200011010961. The next prime is 221200011011009. The reversal of 221200011011000 is 110110002122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200011011009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135063029 + ... + 136690971.

It is an arithmetic number, because the mean of its divisors is an integer number (1628513780400).

Almost surely, 2^{221200011011000} is an apocalyptic number.

221200011011000 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 221200011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312674645836800).

221200011011000 is an abundant number, since it is smaller than the sum of its proper divisors (404149280662600).

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

221200011011000 is a wasteful number, since it uses less digits than its factorization.

221200011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628084 (or 1628063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221200011011000 its reverse (110110002122), we get a palindrome (221310121013122).

The spelling of 221200011011000 in words is "two hundred twenty-one trillion, two hundred billion, eleven million, eleven thousand".