221022011022000 has 320 divisors, whose sum is σ = 755408181924864. Its totient is φ = 55404767539200.

The previous prime is 221022011021993. The next prime is 221022011022031. The reversal of 221022011022000 is 220110220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82629547 + ... + 85262453.

Almost surely, 2^{221022011022000} is an apocalyptic number.

221022011022000 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 221022011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377704090962432).

221022011022000 is an abundant number, since it is smaller than the sum of its proper divisors (534386170902864).

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

221022011022000 is a wasteful number, since it uses less digits than its factorization.

221022011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633773 (or 2633757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221022011022000 its reverse (220110220122), we get a palindrome (221242121242122).

The spelling of 221022011022000 in words is "two hundred twenty-one trillion, twenty-two billion, eleven million, twenty-two thousand".