2101311330120 has 128 divisors (see below), whose sum is σ = 7023150921600. Its totient is φ = 558847302912.

The previous prime is 2101311330047. The next prime is 2101311330121. The reversal of 2101311330120 is 210331131012.

2101311330120 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 311 + 330 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101311330093 and 2101311330102.

It is not an unprimeable number, because it can be changed into a prime (2101311330121) 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, 2205282 + ... + 3010961.

It is an arithmetic number, because the mean of its divisors is an integer number (54868366575).

Almost surely, 2^{2101311330120} is an apocalyptic number.

2101311330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101311330120 is an abundant number, since it is smaller than the sum of its proper divisors (4921839591480).

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

2101311330120 is a wasteful number, since it uses less digits than its factorization.

2101311330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216636 (or 5216626 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2101311330120 its reverse (210331131012), we get a palindrome (2311642461132).

The spelling of 2101311330120 in words is "two trillion, one hundred one billion, three hundred eleven million, three hundred thirty thousand, one hundred twenty".