221122222101000 has 576 divisors, whose sum is σ = 843717996379440. Its totient is φ = 52156583424000.

The previous prime is 221122222100999. The next prime is 221122222101029. The reversal of 221122222101000 is 101222221122.

It is a happy number.

221122222101000 is a `hidden beast` number, since 2 + 211 + 222 + 221 + 0 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8903814373476 + 212218407727524 = 2983926^2 + 14567718^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37549072 + ... + 43036928.

Almost surely, 2^{221122222101000} is an apocalyptic number.

221122222101000 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 221122222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421858998189720).

221122222101000 is an abundant number, since it is smaller than the sum of its proper divisors (622595774278440).

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

221122222101000 is a wasteful number, since it uses less digits than its factorization.

221122222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487943 (or 5487915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221122222101000 its reverse (101222221122), we get a palindrome (221223444322122).

The spelling of 221122222101000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand".