12121103102100 has 144 divisors (see below), whose sum is σ = 36737590393728. Its totient is φ = 3079728988160.

The previous prime is 12121103102099. The next prime is 12121103102137. The reversal of 12121103102100 is 120130112121.

It is a super-2 number, since 2×12121103102100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12121103102100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1644369 + ... + 5190968.

It is an arithmetic number, because the mean of its divisors is an integer number (255122155512).

Almost surely, 2^{12121103102100} is an apocalyptic number.

12121103102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121103102100 is an abundant number, since it is smaller than the sum of its proper divisors (24616487291628).

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

12121103102100 is a wasteful number, since it uses less digits than its factorization.

12121103102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835634 (or 6835627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12121103102100 its reverse (120130112121), we get a palindrome (12241233214221).

The spelling of 12121103102100 in words is "twelve trillion, one hundred twenty-one billion, one hundred three million, one hundred two thousand, one hundred".