101041124200 has 96 divisors (see below), whose sum is σ = 235858575960. Its totient is φ = 40255488000.

The previous prime is 101041124159. The next prime is 101041124201. The reversal of 101041124200 is 2421140101.

It is a happy number.

101041124200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1983633444 + 99057490756 = 44538^2 + 314734^2 .

It is not an unprimeable number, because it can be changed into a prime (101041124201) by changing a digit.

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, 77663550 + ... + 77664850.

Almost surely, 2^101041124200 is an apocalyptic number.

101041124200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101041124200 is an abundant number, since it is smaller than the sum of its proper divisors (134817451760).

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

101041124200 is a wasteful number, since it uses less digits than its factorization.

101041124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101041124200 its reverse (2421140101), we get a palindrome (103462264301).

The spelling of 101041124200 in words is "one hundred one billion, forty-one million, one hundred twenty-four thousand, two hundred".