121220101202200 has 768 divisors, whose sum is σ = 390846514222080. Its totient is φ = 34025587200000.

The previous prime is 121220101202197. The next prime is 121220101202209. The reversal of 121220101202200 is 2202101022121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220101202209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 993131175 + ... + 993253225.

It is an arithmetic number, because the mean of its divisors is an integer number (508914732060).

Almost surely, 2^{121220101202200} is an apocalyptic number.

121220101202200 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 121220101202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195423257111040).

121220101202200 is an abundant number, since it is smaller than the sum of its proper divisors (269626413019880).

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

121220101202200 is a wasteful number, since it uses less digits than its factorization.

121220101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122161 (or 122130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121220101202200 its reverse (2202101022121), we get a palindrome (123422202224321).

The spelling of 121220101202200 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred one million, two hundred two thousand, two hundred".