221110002000 has 240 divisors, whose sum is σ = 793137910032. Its totient is φ = 57368908800.

The previous prime is 221110001993. The next prime is 221110002007. The reversal of 221110002000 is 200011122.

It is an interprime number because it is at equal distance from previous prime (221110001993) and next prime (221110002007).

It can be written as a sum of positive squares in 8 ways, for example, as 92450051136 + 128659950864 = 304056^2 + 358692^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500002 + ... + 831998.

Almost surely, 2^221110002000 is an apocalyptic number.

221110002000 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 221110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396568955016).

221110002000 is an abundant number, since it is smaller than the sum of its proper divisors (572027908032).

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

221110002000 is a wasteful number, since it uses less digits than its factorization.

221110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332063 (or 332044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221110002000 its reverse (200011122), we get a palindrome (221310013122).

The spelling of 221110002000 in words is "two hundred twenty-one billion, one hundred ten million, two thousand".