120133100100 has 144 divisors (see below), whose sum is σ = 374500530432. Its totient is φ = 29557155840.

The previous prime is 120133100089. The next prime is 120133100107. The reversal of 120133100100 is 1001331021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120133100107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9911644 + ... + 9923756.

It is an arithmetic number, because the mean of its divisors is an integer number (2600698128).

Almost surely, 2^120133100100 is an apocalyptic number.

120133100100 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 120133100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187250265216).

120133100100 is an abundant number, since it is smaller than the sum of its proper divisors (254367430332).

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

120133100100 is a wasteful number, since it uses less digits than its factorization.

120133100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120133100100 its reverse (1001331021), we get a palindrome (121134431121).

It can be divided in two parts, 12013 and 3100100, that added together give a palindrome (3112113).

The spelling of 120133100100 in words is "one hundred twenty billion, one hundred thirty-three million, one hundred thousand, one hundred".