101324410441400 has 48 divisors (see below), whose sum is σ = 235726400089440. Its totient is φ = 40504448768000.

The previous prime is 101324410441349. The next prime is 101324410441409. The reversal of 101324410441400 is 4144014423101.

It is a happy number.

It is a super-3 number, since 3×101324410441400³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324410441409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157900304 + ... + 158540703.

It is an arithmetic number, because the mean of its divisors is an integer number (4910966668530).

Almost surely, 2^{101324410441400} is an apocalyptic number.

101324410441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101324410441400 is an abundant number, since it is smaller than the sum of its proper divisors (134401989648040).

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

101324410441400 is a wasteful number, since it uses less digits than its factorization.

101324410441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316442624 (or 316442615 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 101324410441400 its reverse (4144014423101), we get a palindrome (105468424864501).

The spelling of 101324410441400 in words is "one hundred one trillion, three hundred twenty-four billion, four hundred ten million, four hundred forty-one thousand, four hundred".