220204223104100 has 144 divisors (see below), whose sum is σ = 515161613046528. Its totient is φ = 81484094799360.

The previous prime is 220204223104087. The next prime is 220204223104133. The reversal of 220204223104100 is 1401322402022.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6464414 + ... + 21958986.

It is an arithmetic number, because the mean of its divisors is an integer number (3577511201712).

Almost surely, 2^{220204223104100} is an apocalyptic number.

220204223104100 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 220204223104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257580806523264).

220204223104100 is an abundant number, since it is smaller than the sum of its proper divisors (294957389942428).

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

220204223104100 is a wasteful number, since it uses less digits than its factorization.

220204223104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15494814 (or 15494807 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 220204223104100 its reverse (1401322402022), we get a palindrome (221605545506122).

The spelling of 220204223104100 in words is "two hundred twenty trillion, two hundred four billion, two hundred twenty-three million, one hundred four thousand, one hundred".