10120122202212 has 108 divisors (see below), whose sum is σ = 28878378109308. Its totient is φ = 2983819766400.

The previous prime is 10120122202181. The next prime is 10120122202231. The reversal of 10120122202212 is 21220222102101.

It is a happy number.

10120122202212 is a `hidden beast` number, since 10 + 120 + 122 + 202 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7433224243236 + 2686897958976 = 2726394^2 + 1639176^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31234239 + ... + 31556582.

It is an arithmetic number, because the mean of its divisors is an integer number (267392389901).

Almost surely, 2^{10120122202212} is an apocalyptic number.

10120122202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120122202212 is an abundant number, since it is smaller than the sum of its proper divisors (18758255907096).

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

10120122202212 is a wasteful number, since it uses less digits than its factorization.

10120122202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62790890 (or 62790874 counting only the distinct ones).

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

Adding to 10120122202212 its reverse (21220222102101), we get a palindrome (31340344304313).

The spelling of 10120122202212 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, two hundred two thousand, two hundred twelve".