221123222100 has 216 divisors, whose sum is σ = 776544027168. Its totient is φ = 52156742400.

The previous prime is 221123222093. The next prime is 221123222101. The reversal of 221123222100 is 1222321122.

221123222100 is a `hidden beast` number, since 2 + 211 + 232 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123222101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64467 + ... + 668133.

Almost surely, 2^221123222100 is an apocalyptic number.

221123222100 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 221123222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388272013584).

221123222100 is an abundant number, since it is smaller than the sum of its proper divisors (555420805068).

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

221123222100 is a wasteful number, since it uses less digits than its factorization.

221123222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603735 (or 603725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221123222100 its reverse (1222321122), we get a palindrome (222345543222).

It can be divided in two parts, 221 and 123222100, that added together give a palindrome (123222321).

The spelling of 221123222100 in words is "two hundred twenty-one billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred".