121110100212200 has 192 divisors, whose sum is σ = 317143959344640. Its totient is φ = 42611904000000.

The previous prime is 121110100212193. The next prime is 121110100212209. The reversal of 121110100212200 is 2212001011121.

It is not an unprimeable number, because it can be changed into a prime (121110100212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395475140 + ... + 395781260.

It is an arithmetic number, because the mean of its divisors is an integer number (1651791454920).

Almost surely, 2^{121110100212200} is an apocalyptic number.

121110100212200 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 121110100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158571979672320).

121110100212200 is an abundant number, since it is smaller than the sum of its proper divisors (196033859132440).

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

121110100212200 is a wasteful number, since it uses less digits than its factorization.

121110100212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311980 (or 311971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121110100212200 its reverse (2212001011121), we get a palindrome (123322101223321).

The spelling of 121110100212200 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred million, two hundred twelve thousand, two hundred".