220020222000100 has 144 divisors (see below), whose sum is σ = 515448804165120. Its totient is φ = 81268252172800.

The previous prime is 220020222000079. The next prime is 220020222000107. The reversal of 220020222000100 is 1000222020022.

It is not an unprimeable number, because it can be changed into a prime (220020222000107) 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, 521583270 + ... + 522004930.

It is an arithmetic number, because the mean of its divisors is an integer number (3579505584480).

Almost surely, 2^{220020222000100} is an apocalyptic number.

220020222000100 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 220020222000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257724402082560).

220020222000100 is an abundant number, since it is smaller than the sum of its proper divisors (295428582165020).

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

220020222000100 is a wasteful number, since it uses less digits than its factorization.

220020222000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429550 (or 429543 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220020222000100 its reverse (1000222020022), we get a palindrome (221020444020122).

The spelling of 220020222000100 in words is "two hundred twenty trillion, twenty billion, two hundred twenty-two million, one hundred", and thus it is an aban number.