121002200010000 has 675 divisors, whose sum is σ = 435347390751273. Its totient is φ = 31363485120000.

The previous prime is 121002200009959. The next prime is 121002200010007. The reversal of 121002200010000 is 10002200121.

The square root of 121002200010000 is 11000100.

It is a perfect power (a square), and thus also a powerful number.

121002200010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 40175770926096 + 80826429083904 = 6338436^2 + 8990352^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121002200010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 122101109505 + ... + 122101110495.

Almost surely, 2^{121002200010000} is an apocalyptic number.

121002200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121002200010000 is the 11000100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002200010000

121002200010000 is an abundant number, since it is smaller than the sum of its proper divisors (314345190741273).

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

121002200010000 is an frugal number, since it uses more digits than its factorization.

121002200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121002200010000 its reverse (10002200121), we get a palindrome (121012202210121).

It can be divided in two parts, 121002 and 200010000, that added together give a palindrome (200131002).

The spelling of 121002200010000 in words is "one hundred twenty-one trillion, two billion, two hundred million, ten thousand".