12121001122100 has 144 divisors (see below), whose sum is σ = 28621714093056. Its totient is φ = 4428747840000.

The previous prime is 12121001122093. The next prime is 12121001122117. The reversal of 12121001122100 is 122110012121.

12121001122100 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253516397 + ... + 253564203.

It is an arithmetic number, because the mean of its divisors is an integer number (198761903424).

Almost surely, 2^{12121001122100} is an apocalyptic number.

12121001122100 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 12121001122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310857046528).

12121001122100 is an abundant number, since it is smaller than the sum of its proper divisors (16500712970956).

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

12121001122100 is a wasteful number, since it uses less digits than its factorization.

12121001122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49866 (or 49859 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121001122100 its reverse (122110012121), we get a palindrome (12243111134221).

The spelling of 12121001122100 in words is "twelve trillion, one hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred".