12210010102122 has 128 divisors (see below), whose sum is σ = 30156856934400. Its totient is φ = 3217620672000.

The previous prime is 12210010102093. The next prime is 12210010102151. The reversal of 12210010102122 is 22120101001221.

12210010102122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12210010102093) and next prime (12210010102151).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15282372 + ... + 16061472.

It is an arithmetic number, because the mean of its divisors is an integer number (235600444800).

Almost surely, 2^{12210010102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210010102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078428467200).

12210010102122 is an abundant number, since it is smaller than the sum of its proper divisors (17946846832278).

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

12210010102122 is a wasteful number, since it uses less digits than its factorization.

12210010102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779652.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12210010102122 its reverse (22120101001221), we get a palindrome (34330111103343).

The spelling of 12210010102122 in words is "twelve trillion, two hundred ten billion, ten million, one hundred two thousand, one hundred twenty-two".