12212142140100 has 216 divisors, whose sum is σ = 40431773242560. Its totient is φ = 2787874778880.

The previous prime is 12212142140071. The next prime is 12212142140113. The reversal of 12212142140100 is 104124121221.

12212142140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1727559366 + ... + 1727566434.

Almost surely, 2^{12212142140100} is an apocalyptic number.

12212142140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212142140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215886621280).

12212142140100 is an abundant number, since it is smaller than the sum of its proper divisors (28219631102460).

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

12212142140100 is an equidigital number, since it uses as much as digits as its factorization.

12212142140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12212142140100 its reverse (104124121221), we get a palindrome (12316266261321).

The spelling of 12212142140100 in words is "twelve trillion, two hundred twelve billion, one hundred forty-two million, one hundred forty thousand, one hundred".