221101001000000 has 1176 divisors, whose sum is σ = 641321947224000. Its totient is φ = 75403328000000.

The previous prime is 221101000999997. The next prime is 221101001000171. The reversal of 221101001000000 is 100101122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 147498999251 + ... + 147499000749.

Almost surely, 2^{221101001000000} is an apocalyptic number.

221101001000000 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 221101001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320660973612000).

221101001000000 is an abundant number, since it is smaller than the sum of its proper divisors (420220946224000).

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

221101001000000 is an equidigital number, since it uses as much as digits as its factorization.

221101001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221101001000000 its reverse (100101122), we get a palindrome (221101101101122).

The spelling of 221101001000000 in words is "two hundred twenty-one trillion, one hundred one billion, one million", and thus it is an aban number.