2101012320 has 384 divisors, whose sum is σ = 7759825920. Its totient is φ = 472186880.

The previous prime is 2101012307. The next prime is 2101012351. The reversal of 2101012320 is 232101012.

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 = 2101012296 and 2101012305.

It is a congruent number.

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, 7988509 + ... + 7988771.

It is an arithmetic number, because the mean of its divisors is an integer number (20207880).

Almost surely, 2^2101012320 is an apocalyptic number.

2101012320 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 2101012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879912960).

2101012320 is an abundant number, since it is smaller than the sum of its proper divisors (5658813600).

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

2101012320 is a wasteful number, since it uses less digits than its factorization.

2101012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

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

The square root of 2101012320 is about 45836.8009354929. The cubic root of 2101012320 is about 1280.7849027097.

Adding to 2101012320 its reverse (232101012), we get a palindrome (2333113332).

The spelling of 2101012320 in words is "two billion, one hundred one million, twelve thousand, three hundred twenty".