10120311220311 has 24 divisors (see below), whose sum is σ = 15163046078544. Its totient is φ = 6745359654720.

The previous prime is 10120311220309. The next prime is 10120311220319. The reversal of 10120311220311 is 11302211302101.

10120311220311 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 311 + 2 + 20 + 311 = 666.

It is not a de Polignac number, because 10120311220311 - 2¹ = 10120311220309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120311220319) 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, 3589080 + ... + 5755181.

It is an arithmetic number, because the mean of its divisors is an integer number (631793586606).

Almost surely, 2^{10120311220311} is an apocalyptic number.

10120311220311 is a deficient number, since it is larger than the sum of its proper divisors (5042734858233).

10120311220311 is an frugal number, since it uses more digits than its factorization.

10120311220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348733 (or 9348721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10120311220311 its reverse (11302211302101), we get a palindrome (21422522522412).

The spelling of 10120311220311 in words is "ten trillion, one hundred twenty billion, three hundred eleven million, two hundred twenty thousand, three hundred eleven".