2131101322120 has 128 divisors (see below), whose sum is σ = 5090847984000. Its totient is φ = 800639354880.

The previous prime is 2131101322061. The next prime is 2131101322127. The reversal of 2131101322120 is 212231011312.

It is a super-2 number, since 2×2131101322120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2131101322127) 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 31 ways as a sum of consecutive naturals, for example, 50645890 + ... + 50687950.

It is an arithmetic number, because the mean of its divisors is an integer number (39772249875).

Almost surely, 2^{2131101322120} is an apocalyptic number.

2131101322120 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 2131101322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545423992000).

2131101322120 is an abundant number, since it is smaller than the sum of its proper divisors (2959746661880).

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

2131101322120 is a wasteful number, since it uses less digits than its factorization.

2131101322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42663 (or 42659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2131101322120 its reverse (212231011312), we get a palindrome (2343332333432).

The spelling of 2131101322120 in words is "two trillion, one hundred thirty-one billion, one hundred one million, three hundred twenty-two thousand, one hundred twenty".