121200102120200 has 144 divisors (see below), whose sum is σ = 296667299934720. Its totient is φ = 45961817144320.

The previous prime is 121200102120199. The next prime is 121200102120239. The reversal of 121200102120200 is 2021201002121.

It is a super-4 number, since 4×121200102120200⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57705689 + ... + 59769111.

It is an arithmetic number, because the mean of its divisors is an integer number (2060189582880).

Almost surely, 2^{121200102120200} is an apocalyptic number.

121200102120200 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 121200102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148333649967360).

121200102120200 is an abundant number, since it is smaller than the sum of its proper divisors (175467197814520).

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

121200102120200 is a wasteful number, since it uses less digits than its factorization.

121200102120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063688 (or 2063566 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121200102120200 its reverse (2021201002121), we get a palindrome (123221303122321).

The spelling of 121200102120200 in words is "one hundred twenty-one trillion, two hundred billion, one hundred two million, one hundred twenty thousand, two hundred".