12212200100100 has 576 divisors, whose sum is σ = 47464634068992. Its totient is φ = 2341253376000.

The previous prime is 12212200100099. The next prime is 12212200100117. The reversal of 12212200100100 is 100100221221.

12212200100100 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693984502 + ... + 694002098.

It is an arithmetic number, because the mean of its divisors is an integer number (82403878592).

Almost surely, 2^{12212200100100} is an apocalyptic number.

12212200100100 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 12212200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732317034496).

12212200100100 is an abundant number, since it is smaller than the sum of its proper divisors (35252433968892).

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

12212200100100 is a wasteful number, since it uses less digits than its factorization.

12212200100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19956 (or 19949 counting only the distinct ones).

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

Adding to 12212200100100 its reverse (100100221221), we get a palindrome (12312300321321).

The spelling of 12212200100100 in words is "twelve trillion, two hundred twelve billion, two hundred million, one hundred thousand, one hundred".