101041124400 has 360 divisors, whose sum is σ = 361291563360. Its totient is φ = 26130677760.

The previous prime is 101041124389. The next prime is 101041124407. The reversal of 101041124400 is 4421140101.

101041124400 is a `hidden beast` number, since 1 + 0 + 10 + 411 + 244 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101041124407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47817744 + ... + 47819856.

It is an arithmetic number, because the mean of its divisors is an integer number (1003587676).

Almost surely, 2^101041124400 is an apocalyptic number.

101041124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101041124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180645781680).

101041124400 is an abundant number, since it is smaller than the sum of its proper divisors (260250438960).

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

101041124400 is a wasteful number, since it uses less digits than its factorization.

101041124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101041124400 its reverse (4421140101), we get a palindrome (105462264501).

The spelling of 101041124400 in words is "one hundred one billion, forty-one million, one hundred twenty-four thousand, four hundred".