2110101131320 has 256 divisors, whose sum is σ = 6512723481600. Its totient is φ = 595448340480.

The previous prime is 2110101131317. The next prime is 2110101131321. The reversal of 2110101131320 is 231311010112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2110101131294 and 2110101131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110101131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278355 + ... + 2073085.

It is an arithmetic number, because the mean of its divisors is an integer number (25440326100).

Almost surely, 2^{2110101131320} is an apocalyptic number.

2110101131320 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 2110101131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256361740800).

2110101131320 is an abundant number, since it is smaller than the sum of its proper divisors (4402622350280).

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

2110101131320 is a wasteful number, since it uses less digits than its factorization.

2110101131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794798 (or 1794794 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2110101131320 its reverse (231311010112), we get a palindrome (2341412141432).

The spelling of 2110101131320 in words is "two trillion, one hundred ten billion, one hundred one million, one hundred thirty-one thousand, three hundred twenty".