220002002112100 has 144 divisors (see below), whose sum is σ = 532460075530320. Its totient is φ = 78341385830400.

The previous prime is 220002002112097. The next prime is 220002002112103. The reversal of 220002002112100 is 1211200200022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220002002112097) and next prime (220002002112103).

It can be written as a sum of positive squares in 24 ways, for example, as 141469900268544 + 78532101843556 = 11894112^2 + 8861834^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (220002002112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29901784 + ... + 36525616.

It is an arithmetic number, because the mean of its divisors is an integer number (3697639413405).

Almost surely, 2^{220002002112100} is an apocalyptic number.

220002002112100 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 220002002112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266230037765160).

220002002112100 is an abundant number, since it is smaller than the sum of its proper divisors (312458073418220).

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

220002002112100 is a wasteful number, since it uses less digits than its factorization.

220002002112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624770 (or 6624763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220002002112100 its reverse (1211200200022), we get a palindrome (221213202312122).

The spelling of 220002002112100 in words is "two hundred twenty trillion, two billion, two million, one hundred twelve thousand, one hundred".