10122121221200 has 60 divisors (see below), whose sum is σ = 25156961650140. Its totient is φ = 3909233018880.

The previous prime is 10122121221187. The next prime is 10122121221227. The reversal of 10122121221200 is 212212122101.

It can be written as a sum of positive squares in 6 ways, for example, as 42842376256 + 10079278844944 = 206984^2 + 3174788^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436286729 + ... + 436309928.

It is an arithmetic number, because the mean of its divisors is an integer number (419282694169).

Almost surely, 2^{10122121221200} is an apocalyptic number.

10122121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121221200 is an abundant number, since it is smaller than the sum of its proper divisors (15034840428940).

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

10122121221200 is a wasteful number, since it uses less digits than its factorization.

10122121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872596704 (or 872596693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122121221200 its reverse (212212122101), we get a palindrome (10334333343301).

Subtracting from 10122121221200 its reverse (212212122101), we obtain a palindrome (9909909099099).

The spelling of 10122121221200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".