10301221003329 has 64 divisors (see below), whose sum is σ = 16082196480000. Its totient is φ = 6498784395072.

The previous prime is 10301221003309. The next prime is 10301221003343. The reversal of 10301221003329 is 92330012210301.

10301221003329 is a `hidden beast` number, since 1 + 0 + 301 + 2 + 21 + 0 + 0 + 332 + 9 = 666.

It is not a de Polignac number, because 10301221003329 - 2¹⁶ = 10301220937793 is a prime.

It is a super-2 number, since 2×10301221003329² (a number of 27 digits) contains 22 as substring.

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 (10301221003309) 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 63 ways as a sum of consecutive naturals, for example, 3341296222 + ... + 3341299304.

It is an arithmetic number, because the mean of its divisors is an integer number (251284320000).

Almost surely, 2^{10301221003329} is an apocalyptic number.

10301221003329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10301221003329 is a deficient number, since it is larger than the sum of its proper divisors (5780975476671).

10301221003329 is a wasteful number, since it uses less digits than its factorization.

10301221003329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10301221003329 in words is "ten trillion, three hundred one billion, two hundred twenty-one million, three thousand, three hundred twenty-nine".