100212221102112 has 288 divisors, whose sum is σ = 326704258887552. Its totient is φ = 28542918868992.

The previous prime is 100212221102111. The next prime is 100212221102117. The reversal of 100212221102112 is 211201122212001.

100212221102112 is a `hidden beast` number, since 10 + 0 + 212 + 221 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (100212221102111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2808856818 + ... + 2808892494.

It is an arithmetic number, because the mean of its divisors is an integer number (1134389787804).

Almost surely, 2^{100212221102112} is an apocalyptic number.

100212221102112 is a gapful number since it is divisible by the number (12) 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 100212221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163352129443776).

100212221102112 is an abundant number, since it is smaller than the sum of its proper divisors (226492037785440).

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

100212221102112 is a wasteful number, since it uses less digits than its factorization.

100212221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40000 (or 39989 counting only the distinct ones).

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

Adding to 100212221102112 its reverse (211201122212001), we get a palindrome (311413343314113).

The spelling of 100212221102112 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".