10221023010321 has 24 divisors (see below), whose sum is σ = 14776368179040. Its totient is φ = 6808169328576.

The previous prime is 10221023010293. The next prime is 10221023010343. The reversal of 10221023010321 is 12301032012201.

10221023010321 is a `hidden beast` number, since 10 + 22 + 10 + 2 + 301 + 0 + 321 = 666.

It is not a de Polignac number, because 10221023010321 - 2¹³ = 10221023002129 is a prime.

It is a super-2 number, since 2×10221023010321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221023010294 and 10221023010303.

It is not an unprimeable number, because it can be changed into a prime (10221023010371) 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 23 ways as a sum of consecutive naturals, for example, 179404186 + ... + 179461148.

It is an arithmetic number, because the mean of its divisors is an integer number (615682007460).

Almost surely, 2^{10221023010321} is an apocalyptic number.

It is an amenable number.

10221023010321 is a deficient number, since it is larger than the sum of its proper divisors (4555345168719).

10221023010321 is a wasteful number, since it uses less digits than its factorization.

10221023010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73725 (or 73722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221023010321 its reverse (12301032012201), we get a palindrome (22522055022522).

The spelling of 10221023010321 in words is "ten trillion, two hundred twenty-one billion, twenty-three million, ten thousand, three hundred twenty-one".