100212002221220 has 72 divisors (see below), whose sum is σ = 226294865274744. Its totient is φ = 37258563543552.

The previous prime is 100212002221189. The next prime is 100212002221223. The reversal of 100212002221220 is 22122200212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29189448231076 + 71022553990144 = 5402726^2 + 8427488^2 .

It is not an unprimeable number, because it can be changed into a prime (100212002221223) 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 23 ways as a sum of consecutive naturals, for example, 130558649 + ... + 131323968.

It is an arithmetic number, because the mean of its divisors is an integer number (3142984239927).

Almost surely, 2^{100212002221220} is an apocalyptic number.

100212002221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002221220 is an abundant number, since it is smaller than the sum of its proper divisors (126082863053524).

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

100212002221220 is a wasteful number, since it uses less digits than its factorization.

100212002221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261882717 (or 261882696 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100212002221220 its reverse (22122200212001), we get a palindrome (122334202433221).

The spelling of 100212002221220 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred twenty-one thousand, two hundred twenty".