120001033121100 has 72 divisors (see below), whose sum is σ = 347260222548288. Its totient is φ = 31995000532800.

The previous prime is 120001033121089. The next prime is 120001033121107. The reversal of 120001033121100 is 1121330100021.

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 120001033121100.

It is not an unprimeable number, because it can be changed into a prime (120001033121107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31145406 + ... + 34785605.

It is an arithmetic number, because the mean of its divisors is an integer number (4823058646504).

Almost surely, 2^{120001033121100} is an apocalyptic number.

120001033121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001033121100 is an abundant number, since it is smaller than the sum of its proper divisors (227259189427188).

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

120001033121100 is a wasteful number, since it uses less digits than its factorization.

120001033121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65937095 (or 65937088 counting only the distinct ones).

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

Adding to 120001033121100 its reverse (1121330100021), we get a palindrome (121122363221121).

The spelling of 120001033121100 in words is "one hundred twenty trillion, one billion, thirty-three million, one hundred twenty-one thousand, one hundred".