221100120120300 has 144 divisors (see below), whose sum is σ = 653425723077120. Its totient is φ = 57696872963840.

The previous prime is 221100120120287. The next prime is 221100120120307. The reversal of 221100120120300 is 3021021001122.

It is a super-2 number, since 2×221100120120300² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221100120120300.

It is not an unprimeable number, because it can be changed into a prime (221100120120307) 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, 92714482 + ... + 95069318.

It is an arithmetic number, because the mean of its divisors is an integer number (4537678632480).

Almost surely, 2^{221100120120300} is an apocalyptic number.

221100120120300 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 221100120120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326712861538560).

221100120120300 is an abundant number, since it is smaller than the sum of its proper divisors (432325602956820).

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

221100120120300 is a wasteful number, since it uses less digits than its factorization.

221100120120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361560 (or 2361553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221100120120300 its reverse (3021021001122), we get a palindrome (224121141121422).

The spelling of 221100120120300 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, three hundred".