220010212012100 has 144 divisors (see below), whose sum is σ = 503677332587520. Its totient is φ = 83287776499200.

The previous prime is 220010212012099. The next prime is 220010212012177. The reversal of 220010212012100 is 1210212010022.

It is a super-3 number, since 3×220010212012100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 162709805 + ... + 164056395.

It is an arithmetic number, because the mean of its divisors is an integer number (3497759254080).

Almost surely, 2^{220010212012100} is an apocalyptic number.

220010212012100 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 220010212012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251838666293760).

220010212012100 is an abundant number, since it is smaller than the sum of its proper divisors (283667120575420).

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

220010212012100 is a wasteful number, since it uses less digits than its factorization.

220010212012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347750 (or 1347743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220010212012100 its reverse (1210212010022), we get a palindrome (221220424022122).

The spelling of 220010212012100 in words is "two hundred twenty trillion, ten billion, two hundred twelve million, twelve thousand, one hundred".