10221120331123 has 16 divisors (see below), whose sum is σ = 11666542315680. Its totient is φ = 8870980548096.

The previous prime is 10221120331067. The next prime is 10221120331127. The reversal of 10221120331123 is 32113302112201.

It is a cyclic number.

It is not a de Polignac number, because 10221120331123 - 2²⁹ = 10220583460211 is a prime.

It is a super-2 number, since 2×10221120331123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221120331094 and 10221120331103.

It is not an unprimeable number, because it can be changed into a prime (10221120331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22973953 + ... + 23414626.

It is an arithmetic number, because the mean of its divisors is an integer number (729158894730).

Almost surely, 2^{10221120331123} is an apocalyptic number.

10221120331123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10221120331123 is a deficient number, since it is larger than the sum of its proper divisors (1445421984557).

10221120331123 is a wasteful number, since it uses less digits than its factorization.

10221120331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46389606.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10221120331123 its reverse (32113302112201), we get a palindrome (42334422443324).

The spelling of 10221120331123 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, three hundred thirty-one thousand, one hundred twenty-three".