101343224000 has 112 divisors (see below), whose sum is σ = 251287641696. Its totient is φ = 40487040000.

The previous prime is 101343223963. The next prime is 101343224071. The reversal of 101343224000 is 422343101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6816575 + ... + 6831425.

It is an arithmetic number, because the mean of its divisors is an integer number (2243639658).

Almost surely, 2^101343224000 is an apocalyptic number.

101343224000 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 101343224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125643820848).

101343224000 is an abundant number, since it is smaller than the sum of its proper divisors (149944417696).

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

101343224000 is an equidigital number, since it uses as much as digits as its factorization.

101343224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101343224000 its reverse (422343101), we get a palindrome (101765567101).

The spelling of 101343224000 in words is "one hundred one billion, three hundred forty-three million, two hundred twenty-four thousand".