121210112102200 has 384 divisors, whose sum is σ = 319428666685440. Its totient is φ = 42376043520000.

The previous prime is 121210112102153. The next prime is 121210112102221. The reversal of 121210112102200 is 2201211012121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7261995855 + ... + 7262012545.

It is an arithmetic number, because the mean of its divisors is an integer number (831845486160).

Almost surely, 2^{121210112102200} is an apocalyptic number.

121210112102200 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 121210112102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159714333342720).

121210112102200 is an abundant number, since it is smaller than the sum of its proper divisors (198218554583240).

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

121210112102200 is a wasteful number, since it uses less digits than its factorization.

121210112102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17439 (or 17430 counting only the distinct ones).

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

Adding to 121210112102200 its reverse (2201211012121), we get a palindrome (123411323114321).

The spelling of 121210112102200 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twelve million, one hundred two thousand, two hundred".