12122112102100 has 576 divisors, whose sum is σ = 36578258841600. Its totient is φ = 3435532531200.

The previous prime is 12122112102097. The next prime is 12122112102101. The reversal of 12122112102100 is 120121122121.

12122112102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122112102101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 328609857 + ... + 328646743.

It is an arithmetic number, because the mean of its divisors is an integer number (63503921600).

Almost surely, 2^{12122112102100} is an apocalyptic number.

12122112102100 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 12122112102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289129420800).

12122112102100 is an abundant number, since it is smaller than the sum of its proper divisors (24456146739500).

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

12122112102100 is a wasteful number, since it uses less digits than its factorization.

12122112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37013 (or 36992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122112102100 its reverse (120121122121), we get a palindrome (12242233224221).

The spelling of 12122112102100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred".