41225122100 has 72 divisors (see below), whose sum is σ = 91348116888. Its totient is φ = 16145049600.

The previous prime is 41225121967. The next prime is 41225122121. The reversal of 41225122100 is 122152214.

It can be written as a sum of positive squares in 12 ways, for example, as 14800668964 + 26424453136 = 121658^2 + 162556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979490 + ... + 1020710.

Almost surely, 2^41225122100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41225122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45674058444).

41225122100 is an abundant number, since it is smaller than the sum of its proper divisors (50122994788).

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

41225122100 is a wasteful number, since it uses less digits than its factorization.

41225122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41445 (or 41438 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 41225122100 its reverse (122152214), we get a palindrome (41347274314).

The spelling of 41225122100 in words is "forty-one billion, two hundred twenty-five million, one hundred twenty-two thousand, one hundred".