10222120311 has 32 divisors (see below), whose sum is σ = 14863994880. Its totient is φ = 6248268000.

The previous prime is 10222120283. The next prime is 10222120331. The reversal of 10222120311 is 11302122201.

10222120311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10222120311 - 2¹⁹ = 10221596023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222120331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990106 + ... + 1000376.

It is an arithmetic number, because the mean of its divisors is an integer number (464499840).

Almost surely, 2^10222120311 is an apocalyptic number.

10222120311 is a deficient number, since it is larger than the sum of its proper divisors (4641874569).

10222120311 is a wasteful number, since it uses less digits than its factorization.

10222120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10222120311 its reverse (11302122201), we get a palindrome (21524242512).

The spelling of 10222120311 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, three hundred eleven".