121100000121100 has 864 divisors, whose sum is σ = 380227651372800. Its totient is φ = 32816747980800.

The previous prime is 121100000121053. The next prime is 121100000121101. The reversal of 121100000121100 is 1121000001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121100000121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2303174611 + ... + 2303227189.

It is an arithmetic number, because the mean of its divisors is an integer number (440078300200).

Almost surely, 2^{121100000121100} is an apocalyptic number.

121100000121100 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 121100000121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190113825686400).

121100000121100 is an abundant number, since it is smaller than the sum of its proper divisors (259127651251700).

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

121100000121100 is a wasteful number, since it uses less digits than its factorization.

121100000121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52823 (or 52809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121100000121100 its reverse (1121000001121), we get a palindrome (122221000122221).

The spelling of 121100000121100 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-one thousand, one hundred".