2033101432120 has 128 divisors (see below), whose sum is σ = 5210752135680. Its totient is φ = 706698432000.

The previous prime is 2033101432073. The next prime is 2033101432129. The reversal of 2033101432120 is 212341013302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2033101432091 and 2033101432100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033101432129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15428110 + ... + 15559330.

It is an arithmetic number, because the mean of its divisors is an integer number (40709001060).

Almost surely, 2^{2033101432120} is an apocalyptic number.

2033101432120 is a gapful number since it is divisible by the number (20) 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 2033101432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605376067840).

2033101432120 is an abundant number, since it is smaller than the sum of its proper divisors (3177650703560).

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

2033101432120 is a wasteful number, since it uses less digits than its factorization.

2033101432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132797 (or 132793 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2033101432120 its reverse (212341013302), we get a palindrome (2245442445422).

The spelling of 2033101432120 in words is "two trillion, thirty-three billion, one hundred one million, four hundred thirty-two thousand, one hundred twenty".