10030032221328 has 400 divisors, whose sum is σ = 33461526134784. Its totient is φ = 2841174040320.

The previous prime is 10030032221303. The next prime is 10030032221329. The reversal of 10030032221328 is 82312223003001.

It is a happy number.

10030032221328 is a `hidden beast` number, since 1 + 0 + 0 + 300 + 3 + 222 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10030032221329) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2662602901 + ... + 2662606667.

Almost surely, 2^{10030032221328} is an apocalyptic number.

10030032221328 is a gapful number since it is divisible by the number (18) 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 10030032221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730763067392).

10030032221328 is an abundant number, since it is smaller than the sum of its proper divisors (23431493913456).

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

10030032221328 is a wasteful number, since it uses less digits than its factorization.

10030032221328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10030032221328 its reverse (82312223003001), we get a palindrome (92342255224329).

The spelling of 10030032221328 in words is "ten trillion, thirty billion, thirty-two million, two hundred twenty-one thousand, three hundred twenty-eight".