101080224000 has 1008 divisors, whose sum is σ = 432162756480. Its totient is φ = 23066726400.

The previous prime is 101080223987. The next prime is 101080224013. The reversal of 101080224000 is 422080101.

It is an interprime number because it is at equal distance from previous prime (101080223987) and next prime (101080224013).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163295691 + ... + 163296309.

Almost surely, 2^101080224000 is an apocalyptic number.

101080224000 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 101080224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216081378240).

101080224000 is an abundant number, since it is smaller than the sum of its proper divisors (331082532480).

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

101080224000 is an frugal number, since it uses more digits than its factorization.

101080224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

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

The spelling of 101080224000 in words is "one hundred one billion, eighty million, two hundred twenty-four thousand".