101324141400 has 96 divisors (see below), whose sum is σ = 314379878400. Its totient is φ = 26996112000.

The previous prime is 101324141357. The next prime is 101324141407. The reversal of 101324141400 is 4141423101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324141407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617241 + ... + 763959.

It is an arithmetic number, because the mean of its divisors is an integer number (3274790400).

Almost surely, 2^101324141400 is an apocalyptic number.

101324141400 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 101324141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157189939200).

101324141400 is an abundant number, since it is smaller than the sum of its proper divisors (213055737000).

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

101324141400 is a wasteful number, since it uses less digits than its factorization.

101324141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147889 (or 147880 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101324141400 its reverse (4141423101), we get a palindrome (105465564501).

The spelling of 101324141400 in words is "one hundred one billion, three hundred twenty-four million, one hundred forty-one thousand, four hundred".