221123213100 has 216 divisors, whose sum is σ = 710852190048. Its totient is φ = 57459225600.

The previous prime is 221123213081. The next prime is 221123213111. The reversal of 221123213100 is 1312321122.

221123213100 is a `hidden beast` number, since 2 + 21 + 12 + 321 + 310 + 0 = 666.

It is a super-2 number, since 2×221123213100² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 35679202 + ... + 35685398.

Almost surely, 2^221123213100 is an apocalyptic number.

221123213100 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 221123213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355426095024).

221123213100 is an abundant number, since it is smaller than the sum of its proper divisors (489728976948).

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

221123213100 is a wasteful number, since it uses less digits than its factorization.

221123213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221123213100 its reverse (1312321122), we get a palindrome (222435534222).

The spelling of 221123213100 in words is "two hundred twenty-one billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred".