121002330030100 has 144 divisors (see below), whose sum is σ = 264889259002368. Its totient is φ = 47976163868160.

The previous prime is 121002330030091. The next prime is 121002330030119. The reversal of 121002330030100 is 1030033200121.

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, 21751269919 + ... + 21751275481.

It is an arithmetic number, because the mean of its divisors is an integer number (1839508743072).

Almost surely, 2^{121002330030100} is an apocalyptic number.

121002330030100 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 121002330030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132444629501184).

121002330030100 is an abundant number, since it is smaller than the sum of its proper divisors (143886928972268).

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

121002330030100 is a wasteful number, since it uses less digits than its factorization.

121002330030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 121002330030100 its reverse (1030033200121), we get a palindrome (122032363230221).

The spelling of 121002330030100 in words is "one hundred twenty-one trillion, two billion, three hundred thirty million, thirty thousand, one hundred".