121121110122100 has 432 divisors, whose sum is σ = 306471370076928. Its totient is φ = 41434272000000.

The previous prime is 121121110122091. The next prime is 121121110122127. The reversal of 121121110122100 is 1221011121121.

121121110122100 is digitally balanced in base 3, 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 143 ways as a sum of consecutive naturals, for example, 4244339032 + ... + 4244367568.

Almost surely, 2^{121121110122100} is an apocalyptic number.

121121110122100 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 121121110122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235685038464).

121121110122100 is an abundant number, since it is smaller than the sum of its proper divisors (185350259954828).

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

121121110122100 is a wasteful number, since it uses less digits than its factorization.

121121110122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28848 (or 28830 counting only the distinct ones).

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

Adding to 121121110122100 its reverse (1221011121121), we get a palindrome (122342121243221).

It can be divided in two parts, 1211211 and 10122100, that added together give a palindrome (11333311).

The spelling of 121121110122100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred".