2101032120 has 256 divisors, whose sum is σ = 7060193280. Its totient is φ = 495936000.

The previous prime is 2101032079. The next prime is 2101032127. The reversal of 2101032120 is 212301012.

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 = 2101032096 and 2101032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101032127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13914045 + ... + 13914195.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^2101032120 is an apocalyptic number.

2101032120 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 2101032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2101032120 is an abundant number, since it is smaller than the sum of its proper divisors (4959161160).

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

2101032120 is a wasteful number, since it uses less digits than its factorization.

2101032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

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

The square root of 2101032120 is about 45837.0169186434. The cubic root of 2101032120 is about 1280.7889260816.

Adding to 2101032120 its reverse (212301012), we get a palindrome (2313333132).

The spelling of 2101032120 in words is "two billion, one hundred one million, thirty-two thousand, one hundred twenty".