12121201102122 has 96 divisors (see below), whose sum is σ = 30429296531712. Its totient is φ = 3415339613952.

The previous prime is 12121201102121. The next prime is 12121201102141. The reversal of 12121201102122 is 22120110212121.

12121201102122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121201102095 and 12121201102104.

It is not an unprimeable number, because it can be changed into a prime (12121201102121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78998563 + ... + 79151849.

It is an arithmetic number, because the mean of its divisors is an integer number (316971838872).

Almost surely, 2^{12121201102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121201102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214648265856).

12121201102122 is an abundant number, since it is smaller than the sum of its proper divisors (18308095429590).

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

12121201102122 is a wasteful number, since it uses less digits than its factorization.

12121201102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161972 (or 161969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121201102122 its reverse (22120110212121), we get a palindrome (34241311314243).

The spelling of 12121201102122 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred two thousand, one hundred twenty-two".