41002200100 has 27 divisors (see below), whose sum is σ = 88979168467. Its totient is φ = 16400070080.

The previous prime is 41002200079. The next prime is 41002200103. The reversal of 41002200100 is 100220014.

The square root of 41002200100 is 202490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4899160036 + 36103040064 = 69994^2 + 190008^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41002200103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2014776 + ... + 2035024.

Almost surely, 2^41002200100 is an apocalyptic number.

41002200100 is the 202490-th square number.

It is an amenable number.

41002200100 is an abundant number, since it is smaller than the sum of its proper divisors (47976968367).

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

41002200100 is an frugal number, since it uses more digits than its factorization.

41002200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40512 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Multiplying 41002200100 by its product of nonzero digits (16), we get a square (656035201600 = 809960²).

Adding to 41002200100 its reverse (100220014), we get a palindrome (41102420114).

The spelling of 41002200100 in words is "forty-one billion, two million, two hundred thousand, one hundred".