2130100020 has 72 divisors (see below), whose sum is σ = 6476881320. Its totient is φ = 566657280.

The previous prime is 2130100001. The next prime is 2130100031. The reversal of 2130100020 is 200010312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 322489764 + 1807610256 = 17958^2 + 42516^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2130099975 and 2130100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61726 + ... + 89834.

It is an arithmetic number, because the mean of its divisors is an integer number (89956685).

Almost surely, 2^2130100020 is an apocalyptic number.

2130100020 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 2130100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238440660).

2130100020 is an abundant number, since it is smaller than the sum of its proper divisors (4346781300).

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

2130100020 is a wasteful number, since it uses less digits than its factorization.

2130100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28545 (or 28540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130100020 is about 46153.0066192875. The cubic root of 2130100020 is about 1286.6684902775.

Adding to 2130100020 its reverse (200010312), we get a palindrome (2330110332).

The spelling of 2130100020 in words is "two billion, one hundred thirty million, one hundred thousand, twenty".