221101001000 has 384 divisors, whose sum is σ = 605011680000. Its totient is φ = 75403328000.

The previous prime is 221101000979. The next prime is 221101001039. The reversal of 221101001000 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 95 ways as a sum of consecutive naturals, for example, 147498251 + ... + 147499749.

It is an arithmetic number, because the mean of its divisors is an integer number (1575551250).

Almost surely, 2^221101001000 is an apocalyptic number.

221101001000 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 221101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302505840000).

221101001000 is an abundant number, since it is smaller than the sum of its proper divisors (383910679000).

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

221101001000 is a wasteful number, since it uses less digits than its factorization.

221101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1593 counting only the distinct ones).

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

Adding to 221101001000 its reverse (100101122), we get a palindrome (221201102122).

The spelling of 221101001000 in words is "two hundred twenty-one billion, one hundred one million, one thousand".