12121200010100 has 36 divisors (see below), whose sum is σ = 27850239556524. Its totient is φ = 4563275297280.

The previous prime is 12121200010091. The next prime is 12121200010133. The reversal of 12121200010100 is 101000212121.

It can be written as a sum of positive squares in 6 ways, for example, as 796884723856 + 11324315286244 = 892684^2 + 3365162^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3565057127 + ... + 3565060526.

It is an arithmetic number, because the mean of its divisors is an integer number (773617765459).

Almost surely, 2^{12121200010100} is an apocalyptic number.

12121200010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121200010100 is an abundant number, since it is smaller than the sum of its proper divisors (15729039546424).

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

12121200010100 is a wasteful number, since it uses less digits than its factorization.

12121200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130117684 (or 7130117677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12121200010100 its reverse (101000212121), we get a palindrome (12222200222221).

The spelling of 12121200010100 in words is "twelve trillion, one hundred twenty-one billion, two hundred million, ten thousand, one hundred".