12102211002 has 64 divisors (see below), whose sum is σ = 28258272000. Its totient is φ = 3453912000.

The previous prime is 12102210973. The next prime is 12102211027. The reversal of 12102211002 is 20011220121.

12102211002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102211002² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197252 + ... + 2202752.

It is an arithmetic number, because the mean of its divisors is an integer number (441535500).

Almost surely, 2^12102211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129136000).

12102211002 is an abundant number, since it is smaller than the sum of its proper divisors (16156060998).

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

12102211002 is a wasteful number, since it uses less digits than its factorization.

12102211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102211002 its reverse (20011220121), we get a palindrome (32113431123).

The spelling of 12102211002 in words is "twelve billion, one hundred two million, two hundred eleven thousand, two".