2101272810 has 128 divisors (see below), whose sum is σ = 6286049280. Its totient is φ = 437688576.

The previous prime is 2101272793. The next prime is 2101272853. The reversal of 2101272810 is 182721012.

2101272810 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101272810² = 8830694844090592200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210799 + ... + 220541.

It is an arithmetic number, because the mean of its divisors is an integer number (49109760).

Almost surely, 2^2101272810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101272810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143024640).

2101272810 is an abundant number, since it is smaller than the sum of its proper divisors (4184776470).

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

2101272810 is a wasteful number, since it uses less digits than its factorization.

2101272810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2101272810 is about 45839.6423415367. The cubic root of 2101272810 is about 1280.8378324124.

Adding to 2101272810 its reverse (182721012), we get a palindrome (2283993822).

It can be divided in two parts, 2101 and 272810, that added together give a triangular number (274911 = T₇₄₁).

The spelling of 2101272810 in words is "two billion, one hundred one million, two hundred seventy-two thousand, eight hundred ten".