2131002120 has 256 divisors, whose sum is σ = 7094304000. Its totient is φ = 511899648.

The previous prime is 2131002119. The next prime is 2131002191. The reversal of 2131002120 is 212001312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2131002096 and 2131002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15554692 + ... + 15554828.

It is an arithmetic number, because the mean of its divisors is an integer number (27712125).

Almost surely, 2^2131002120 is an apocalyptic number.

2131002120 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 2131002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547152000).

2131002120 is an abundant number, since it is smaller than the sum of its proper divisors (4963301880).

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

2131002120 is a wasteful number, since it uses less digits than its factorization.

2131002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131002120 is about 46162.7785125636. The cubic root of 2131002120 is about 1286.8500998764.

Adding to 2131002120 its reverse (212001312), we get a palindrome (2343003432).

The spelling of 2131002120 in words is "two billion, one hundred thirty-one million, two thousand, one hundred twenty".