220212122111100 has 216 divisors, whose sum is σ = 788921434491008. Its totient is φ = 50329562025600.

The previous prime is 220212122111053. The next prime is 220212122111171. The reversal of 220212122111100 is 1111221212022.

220212122111100 is a `hidden beast` number, since 220 + 2 + 121 + 2 + 211 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67008567 + ... + 70218033.

Almost surely, 2^{220212122111100} is an apocalyptic number.

220212122111100 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 220212122111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394460717245504).

220212122111100 is an abundant number, since it is smaller than the sum of its proper divisors (568709312379908).

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

220212122111100 is a wasteful number, since it uses less digits than its factorization.

220212122111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220385 (or 3220375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220212122111100 its reverse (1111221212022), we get a palindrome (221323343323122).

The spelling of 220212122111100 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".