121300113010100 has 576 divisors, whose sum is σ = 298852368224256. Its totient is φ = 42530836561920.

The previous prime is 121300113010073. The next prime is 121300113010133. The reversal of 121300113010100 is 1010311003121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 20816903387 + ... + 20816909213.

It is an arithmetic number, because the mean of its divisors is an integer number (518840917056).

Almost surely, 2^{121300113010100} is an apocalyptic number.

121300113010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121300113010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149426184112128).

121300113010100 is an abundant number, since it is smaller than the sum of its proper divisors (177552255214156).

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

121300113010100 is a wasteful number, since it uses less digits than its factorization.

121300113010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 121300113010100 its reverse (1010311003121), we get a palindrome (122310424013221).

The spelling of 121300113010100 in words is "one hundred twenty-one trillion, three hundred billion, one hundred thirteen million, ten thousand, one hundred".