221141100 has 144 divisors (see below), whose sum is σ = 684706176. Its totient is φ = 54912000.

The previous prime is 221141093. The next prime is 221141101. The reversal of 221141100 is 1141122.

It is a happy number.

221141100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221141100² = 97806772218420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221141101) 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, 667935 + ... + 668265.

It is an arithmetic number, because the mean of its divisors is an integer number (4754904).

Almost surely, 2^221141100 is an apocalyptic number.

221141100 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 221141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342353088).

221141100 is an abundant number, since it is smaller than the sum of its proper divisors (463565076).

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

221141100 is a wasteful number, since it uses less digits than its factorization.

221141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 221141100 is about 14870.8136966341. The cubic root of 221141100 is about 604.7230023090.

Adding to 221141100 its reverse (1141122), we get a palindrome (222282222).

The spelling of 221141100 in words is "two hundred twenty-one million, one hundred forty-one thousand, one hundred".