100212110112222 has 64 divisors (see below), whose sum is σ = 224972263656000. Its totient is φ = 33062450918400.

The previous prime is 100212110112211. The next prime is 100212110112241. The reversal of 100212110112222 is 222211011212001.

100212110112222 is a `hidden beast` number, since 10 + 0 + 212 + 110 + 112 + 222 = 666.

100212110112222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212110112195 and 100212110112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13616118 + ... + 19642374.

It is an arithmetic number, because the mean of its divisors is an integer number (3515191619625).

Almost surely, 2^{100212110112222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212110112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112486131828000).

100212110112222 is an abundant number, since it is smaller than the sum of its proper divisors (124760153543778).

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

100212110112222 is a wasteful number, since it uses less digits than its factorization.

100212110112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029418 (or 6029412 counting only the distinct ones).

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

Adding to 100212110112222 its reverse (222211011212001), we get a palindrome (322423121324223).

The spelling of 100212110112222 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, one hundred twelve thousand, two hundred twenty-two".