2010441144100 has 72 divisors (see below), whose sum is σ = 4380121607400. Its totient is φ = 800958950400.

The previous prime is 2010441144079. The next prime is 2010441144113. The reversal of 2010441144100 is 14411440102.

It can be written as a sum of positive squares in 12 ways, for example, as 1714313625124 + 296127518976 = 1309318^2 + 544176^2 .

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 23 ways as a sum of consecutive naturals, for example, 119454486 + ... + 119471314.

It is an arithmetic number, because the mean of its divisors is an integer number (60835022325).

Almost surely, 2^{2010441144100} is an apocalyptic number.

2010441144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010441144100 is an abundant number, since it is smaller than the sum of its proper divisors (2369680463300).

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

2010441144100 is a wasteful number, since it uses less digits than its factorization.

2010441144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2010441144100 its reverse (14411440102), we get a palindrome (2024852584202).

The spelling of 2010441144100 in words is "two trillion, ten billion, four hundred forty-one million, one hundred forty-four thousand, one hundred".