100012222120212 has 36 divisors (see below), whose sum is σ = 259641339411636. Its totient is φ = 32436396362880.

The previous prime is 100012222120189. The next prime is 100012222120319. The reversal of 100012222120212 is 212021222210001.

It is a happy number.

100012222120212 is a `hidden beast` number, since 100 + 0 + 12 + 222 + 120 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91078125032196 + 8934097088016 = 9543486^2 + 2988996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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, 37542124089 + ... + 37542126752.

It is an arithmetic number, because the mean of its divisors is an integer number (7212259428101).

Almost surely, 2^{100012222120212} is an apocalyptic number.

100012222120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012222120212 is an abundant number, since it is smaller than the sum of its proper divisors (159629117291424).

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

100012222120212 is a wasteful number, since it uses less digits than its factorization.

100012222120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75084250888 (or 75084250883 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100012222120212 its reverse (212021222210001), we get a palindrome (312033444330213).

The spelling of 100012222120212 in words is "one hundred trillion, twelve billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twelve".