100221021212112 has 60 divisors (see below), whose sum is σ = 288060194993220. Its totient is φ = 32504114985984.

The previous prime is 100221021212111. The next prime is 100221021212119. The reversal of 100221021212112 is 211212120122001.

100221021212112 is a `hidden beast` number, since 100 + 221 + 0 + 21 + 212 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53628438044736 + 46592583167376 = 7323144^2 + 6825876^2 .

It is a super-3 number, since 3×100221021212112³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221021212111) 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 11 ways as a sum of consecutive naturals, for example, 9405120537 + ... + 9405131192.

It is an arithmetic number, because the mean of its divisors is an integer number (4801003249887).

Almost surely, 2^{100221021212112} is an apocalyptic number.

100221021212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221021212112 is an abundant number, since it is smaller than the sum of its proper divisors (187839173781108).

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

100221021212112 is a wasteful number, since it uses less digits than its factorization.

100221021212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810251780 (or 18810251771 counting only the distinct ones).

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

Adding to 100221021212112 its reverse (211212120122001), we get a palindrome (311433141334113).

The spelling of 100221021212112 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one hundred twelve".