12210112002100 has 72 divisors (see below), whose sum is σ = 27413498158200. Its totient is φ = 4714958169600.

The previous prime is 12210112002001. The next prime is 12210112002131. The reversal of 12210112002100 is 120021101221.

12210112002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1574412619536 + 10635699382564 = 1254756^2 + 3261242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20319970 + ... + 20912230.

It is an arithmetic number, because the mean of its divisors is an integer number (380743029975).

Almost surely, 2^{12210112002100} is an apocalyptic number.

12210112002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210112002100 is an abundant number, since it is smaller than the sum of its proper divisors (15203386156100).

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

12210112002100 is a wasteful number, since it uses less digits than its factorization.

12210112002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599413 (or 599406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210112002100 its reverse (120021101221), we get a palindrome (12330133103321).

The spelling of 12210112002100 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, two thousand, one hundred".