221011120000 has 160 divisors (see below), whose sum is σ = 600213339000. Its totient is φ = 80367360000.

The previous prime is 221011119991. The next prime is 221011120007. The reversal of 221011120000 is 21110122.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 754426 + ... + 1005574.

Almost surely, 2^221011120000 is an apocalyptic number.

221011120000 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 221011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300106669500).

221011120000 is an abundant number, since it is smaller than the sum of its proper divisors (379202219000).

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

221011120000 is an equidigital number, since it uses as much as digits as its factorization.

221011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251194 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221011120000 its reverse (21110122), we get a palindrome (221032230122).

The spelling of 221011120000 in words is "two hundred twenty-one billion, eleven million, one hundred twenty thousand".