220100222220100 has 36 divisors (see below), whose sum is σ = 505712628234324. Its totient is φ = 82861260129280.

The previous prime is 220100222220079. The next prime is 220100222220101. The reversal of 220100222220100 is 1022222001022.

It can be written as a sum of positive squares in 6 ways, for example, as 15223611456 + 220084998608644 = 123384^2 + 14835262^2 .

It is not an unprimeable number, because it can be changed into a prime (220100222220101) 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 11 ways as a sum of consecutive naturals, for example, 64735357777 + ... + 64735361176.

It is an arithmetic number, because the mean of its divisors is an integer number (14047573006509).

Almost surely, 2^{220100222220100} is an apocalyptic number.

220100222220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100222220100 is an abundant number, since it is smaller than the sum of its proper divisors (285612406014224).

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

220100222220100 is a wasteful number, since it uses less digits than its factorization.

220100222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129470718984 (or 129470718977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220100222220100 its reverse (1022222001022), we get a palindrome (221122444221122).

The spelling of 220100222220100 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".