121212221010100 has 864 divisors, whose sum is σ = 308073130807680. Its totient is φ = 41027696640000.

The previous prime is 121212221010073. The next prime is 121212221010119. The reversal of 121212221010100 is 1010122212121.

121212221010100 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 287 ways as a sum of consecutive naturals, for example, 884760737232 + ... + 884760737368.

It is an arithmetic number, because the mean of its divisors is an integer number (356566123620).

Almost surely, 2^{121212221010100} is an apocalyptic number.

121212221010100 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 121212221010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154036565403840).

121212221010100 is an abundant number, since it is smaller than the sum of its proper divisors (186860909797580).

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

121212221010100 is a wasteful number, since it uses less digits than its factorization.

121212221010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 431 counting only the distinct ones).

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

Adding to 121212221010100 its reverse (1010122212121), we get a palindrome (122222343222221).

It can be divided in two parts, 1212122 and 21010100, that added together give a palindrome (22222222).

The spelling of 121212221010100 in words is "one hundred twenty-one trillion, two hundred twelve billion, two hundred twenty-one million, ten thousand, one hundred".