121221020210000 has 100 divisors (see below), whose sum is σ = 293804152966500. Its totient is φ = 48436210176000.

The previous prime is 121221020209981. The next prime is 121221020210009. The reversal of 121221020210000 is 12020122121.

It can be written as a sum of positive squares in 10 ways, for example, as 121207592962624 + 13427247376 = 11009432^2 + 115876^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221020210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2765726 + ... + 15814274.

It is an arithmetic number, because the mean of its divisors is an integer number (2938041529665).

Almost surely, 2^{121221020210000} is an apocalyptic number.

121221020210000 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 121221020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146902076483250).

121221020210000 is an abundant number, since it is smaller than the sum of its proper divisors (172583132756500).

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

121221020210000 is an equidigital number, since it uses as much as digits as its factorization.

121221020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049506 (or 13049485 counting only the distinct ones).

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

Adding to 121221020210000 its reverse (12020122121), we get a palindrome (121233040332121).

The spelling of 121221020210000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred ten thousand".