221020103100 has 288 divisors, whose sum is σ = 687736982016. Its totient is φ = 54659404800.

The previous prime is 221020103089. The next prime is 221020103107. The reversal of 221020103100 is 1301020122.

It is a super-2 number, since 2×221020103100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020103107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80928735 + ... + 80931465.

It is an arithmetic number, because the mean of its divisors is an integer number (2387975632).

Almost surely, 2^221020103100 is an apocalyptic number.

221020103100 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 221020103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343868491008).

221020103100 is an abundant number, since it is smaller than the sum of its proper divisors (466716878916).

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

221020103100 is a wasteful number, since it uses less digits than its factorization.

221020103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221020103100 its reverse (1301020122), we get a palindrome (222321123222).

The spelling of 221020103100 in words is "two hundred twenty-one billion, twenty million, one hundred three thousand, one hundred".