121112201102200 has 768 divisors, whose sum is σ = 378086886604800. Its totient is φ = 34938600652800.

The previous prime is 121112201102111. The next prime is 121112201102213. The reversal of 121112201102200 is 2201102211121.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7935011769 + ... + 7935027031.

It is an arithmetic number, because the mean of its divisors is an integer number (492300633600).

Almost surely, 2^{121112201102200} is an apocalyptic number.

121112201102200 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 121112201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189043443302400).

121112201102200 is an abundant number, since it is smaller than the sum of its proper divisors (256974685502600).

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

121112201102200 is a wasteful number, since it uses less digits than its factorization.

121112201102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15940 (or 15931 counting only the distinct ones).

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

Adding to 121112201102200 its reverse (2201102211121), we get a palindrome (123313303313321).

The spelling of 121112201102200 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred one million, one hundred two thousand, two hundred".