10221335114331 has 64 divisors (see below), whose sum is σ = 15110074368000. Its totient is φ = 6094242036480.

The previous prime is 10221335114317. The next prime is 10221335114357. The reversal of 10221335114331 is 13341153312201.

It is not a de Polignac number, because 10221335114331 - 2¹⁰ = 10221335113307 is a prime.

It is a super-2 number, since 2×10221335114331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221335114381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835138510 + ... + 835150748.

It is an arithmetic number, because the mean of its divisors is an integer number (236094912000).

Almost surely, 2^{10221335114331} is an apocalyptic number.

10221335114331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221335114331 is a deficient number, since it is larger than the sum of its proper divisors (4888739253669).

10221335114331 is a wasteful number, since it uses less digits than its factorization.

10221335114331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13464.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 10221335114331 its reverse (13341153312201), we get a palindrome (23562488426532).

The spelling of 10221335114331 in words is "ten trillion, two hundred twenty-one billion, three hundred thirty-five million, one hundred fourteen thousand, three hundred thirty-one".