221001022000 has 80 divisors (see below), whose sum is σ = 582960572064. Its totient is φ = 80364000000.

The previous prime is 221001021893. The next prime is 221001022007. The reversal of 221001022000 is 220100122.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (221001022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000751 + ... + 5044750.

Almost surely, 2^221001022000 is an apocalyptic number.

221001022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001022000 is an abundant number, since it is smaller than the sum of its proper divisors (361959550064).

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

221001022000 is a wasteful number, since it uses less digits than its factorization.

221001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045535 (or 10045519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221001022000 its reverse (220100122), we get a palindrome (221221122122).

The spelling of 221001022000 in words is "two hundred twenty-one billion, one million, twenty-two thousand".