2131201101120 has 1792 divisors, whose sum is σ = 9041165844480. Its totient is φ = 413069082624.

The previous prime is 2131201101119. The next prime is 2131201101131. The reversal of 2131201101120 is 211011021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131201101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8103426109 + ... + 8103426371.

It is an arithmetic number, because the mean of its divisors is an integer number (5045293440).

Almost surely, 2^{2131201101120} is an apocalyptic number.

2131201101120 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 2131201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520582922240).

2131201101120 is an abundant number, since it is smaller than the sum of its proper divisors (6909964743360).

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

2131201101120 is a wasteful number, since it uses less digits than its factorization.

2131201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2131201101120 its reverse (211011021312), we get a palindrome (2342212122432).

The spelling of 2131201101120 in words is "two trillion, one hundred thirty-one billion, two hundred one million, one hundred one thousand, one hundred twenty".