101538724843200 has 336 divisors, whose sum is σ = 354604960080000. Its totient is φ = 25363662888960.

The previous prime is 101538724843123. The next prime is 101538724843261. The reversal of 101538724843200 is 2348427835101.

It is a happy number.

It is a super-2 number, since 2×101538724843200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101538724843200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861951 + ... + 14371649.

It is an arithmetic number, because the mean of its divisors is an integer number (1055371905000).

Almost surely, 2^{101538724843200} is an apocalyptic number.

101538724843200 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 101538724843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177302480040000).

101538724843200 is an abundant number, since it is smaller than the sum of its proper divisors (253066235236800).

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

101538724843200 is a wasteful number, since it uses less digits than its factorization.

101538724843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509832 (or 12509817 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 101538724843200 in words is "one hundred one trillion, five hundred thirty-eight billion, seven hundred twenty-four million, eight hundred forty-three thousand, two hundred".