121111221111100 has 288 divisors, whose sum is σ = 302224353403392. Its totient is φ = 41695632000000.

The previous prime is 121111221111071. The next prime is 121111221111109. The reversal of 121111221111100 is 1111122111121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111221111109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12232216150 + ... + 12232226050.

It is an arithmetic number, because the mean of its divisors is an integer number (1049390115984).

Almost surely, 2^{121111221111100} is an apocalyptic number.

121111221111100 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 121111221111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151112176701696).

121111221111100 is an abundant number, since it is smaller than the sum of its proper divisors (181113132292292).

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

121111221111100 is a wasteful number, since it uses less digits than its factorization.

121111221111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 121111221111100 its reverse (1111122111121), we get a palindrome (122222343222221).

The spelling of 121111221111100 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".