220212102210100 has 288 divisors, whose sum is σ = 654696534240000. Its totient is φ = 63357726297600.

The previous prime is 220212102210059. The next prime is 220212102210161. The reversal of 220212102210100 is 1012201212022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17543275 + ... + 27353074.

It is an arithmetic number, because the mean of its divisors is an integer number (2273251855000).

Almost surely, 2^{220212102210100} is an apocalyptic number.

220212102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212102210100 is an abundant number, since it is smaller than the sum of its proper divisors (434484432029900).

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

220212102210100 is a wasteful number, since it uses less digits than its factorization.

220212102210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44896408 (or 44896387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220212102210100 its reverse (1012201212022), we get a palindrome (221224303422122).

The spelling of 220212102210100 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred two million, two hundred ten thousand, one hundred".