123133003020100 has 144 divisors (see below), whose sum is σ = 274013430768000. Its totient is φ = 47999661696000.

The previous prime is 123133003020077. The next prime is 123133003020109. The reversal of 123133003020100 is 1020300331321.

It is not an unprimeable number, because it can be changed into a prime (123133003020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21448003230 + ... + 21448008970.

It is an arithmetic number, because the mean of its divisors is an integer number (1902871047000).

Almost surely, 2^{123133003020100} is an apocalyptic number.

123133003020100 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 123133003020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137006715384000).

123133003020100 is an abundant number, since it is smaller than the sum of its proper divisors (150880427747900).

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

123133003020100 is a wasteful number, since it uses less digits than its factorization.

123133003020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123133003020100 its reverse (1020300331321), we get a palindrome (124153303351421).

The spelling of 123133003020100 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, three million, twenty thousand, one hundred".