10221311312301 has 32 divisors (see below), whose sum is σ = 14842449648000. Its totient is φ = 6232089846528.

The previous prime is 10221311312299. The next prime is 10221311312321. The reversal of 10221311312301 is 10321311312201.

It is not a de Polignac number, because 10221311312301 - 2¹ = 10221311312299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221311312321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11521851 + ... + 12377223.

It is an arithmetic number, because the mean of its divisors is an integer number (463826551500).

Almost surely, 2^{10221311312301} is an apocalyptic number.

It is an amenable number.

10221311312301 is a deficient number, since it is larger than the sum of its proper divisors (4621138335699).

10221311312301 is a wasteful number, since it uses less digits than its factorization.

10221311312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862653.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10221311312301 its reverse (10321311312201), we get a palindrome (20542622624502).

The spelling of 10221311312301 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred one".