2101133154120 has 1024 divisors, whose sum is σ = 8928976896000. Its totient is φ = 380936908800.

The previous prime is 2101133154077. The next prime is 2101133154121. The reversal of 2101133154120 is 214513311012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2101133154121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1440117951 + ... + 1440119409.

It is an arithmetic number, because the mean of its divisors is an integer number (8719704000).

Almost surely, 2^{2101133154120} is an apocalyptic number.

2101133154120 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 2101133154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464488448000).

2101133154120 is an abundant number, since it is smaller than the sum of its proper divisors (6827843741880).

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

2101133154120 is a wasteful number, since it uses less digits than its factorization.

2101133154120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 2101133154120 its reverse (214513311012), we get a palindrome (2315646465132).

The spelling of 2101133154120 in words is "two trillion, one hundred one billion, one hundred thirty-three million, one hundred fifty-four thousand, one hundred twenty".