101330221032000 has 672 divisors, whose sum is σ = 398142097816320. Its totient is φ = 24486196838400.

The previous prime is 101330221031971. The next prime is 101330221032013. The reversal of 101330221032000 is 230122033101.

101330221032000 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 2 + 10 + 320 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 29853744 + ... + 33074256.

Almost surely, 2^{101330221032000} is an apocalyptic number.

101330221032000 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 101330221032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199071048908160).

101330221032000 is an abundant number, since it is smaller than the sum of its proper divisors (296811876784320).

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

101330221032000 is a wasteful number, since it uses less digits than its factorization.

101330221032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220588 (or 3220565 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101330221032000 its reverse (230122033101), we get a palindrome (101560343065101).

The spelling of 101330221032000 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-one million, thirty-two thousand".