220212012021100 has 288 divisors, whose sum is σ = 553018429555200. Its totient is φ = 75370310400000.

The previous prime is 220212012021047. The next prime is 220212012021149. The reversal of 220212012021100 is 1120210212022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201029875 + ... + 202122325.

It is an arithmetic number, because the mean of its divisors is an integer number (1920202880400).

Almost surely, 2^{220212012021100} is an apocalyptic number.

220212012021100 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 220212012021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276509214777600).

220212012021100 is an abundant number, since it is smaller than the sum of its proper divisors (332806417534100).

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

220212012021100 is a wasteful number, since it uses less digits than its factorization.

220212012021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092665 (or 1092658 counting only the distinct ones).

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

Adding to 220212012021100 its reverse (1120210212022), we get a palindrome (221332222233122).

The spelling of 220212012021100 in words is "two hundred twenty trillion, two hundred twelve billion, twelve million, twenty-one thousand, one hundred".