121301100103200 has 144 divisors (see below), whose sum is σ = 418060673966880. Its totient is φ = 30444197662720.

The previous prime is 121301100103193. The next prime is 121301100103201. The reversal of 121301100103200 is 2301001103121.

It is a happy number.

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 121301100103200.

It is not an unprimeable number, because it can be changed into a prime (121301100103201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486492290 + ... + 1486573889.

It is an arithmetic number, because the mean of its divisors is an integer number (2903199124770).

Almost surely, 2^{121301100103200} is an apocalyptic number.

121301100103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121301100103200 is an abundant number, since it is smaller than the sum of its proper divisors (296759573863680).

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

121301100103200 is a wasteful number, since it uses less digits than its factorization.

121301100103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973066219 (or 2973066206 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121301100103200 its reverse (2301001103121), we get a palindrome (123602101206321).

The spelling of 121301100103200 in words is "one hundred twenty-one trillion, three hundred one billion, one hundred million, one hundred three thousand, two hundred".