10010222312311 has 32 divisors (see below), whose sum is σ = 11363099489280. Its totient is φ = 8749101504000.

The previous prime is 10010222312249. The next prime is 10010222312329. The reversal of 10010222312311 is 11321322201001.

It is not a de Polignac number, because 10010222312311 - 2²⁷ = 10010088094583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010222312711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15388110 + ... + 16025428.

It is an arithmetic number, because the mean of its divisors is an integer number (355096859040).

Almost surely, 2^{10010222312311} is an apocalyptic number.

10010222312311 is a deficient number, since it is larger than the sum of its proper divisors (1352877176969).

10010222312311 is a wasteful number, since it uses less digits than its factorization.

10010222312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637887.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10010222312311 its reverse (11321322201001), we get a palindrome (21331544513312).

The spelling of 10010222312311 in words is "ten trillion, ten billion, two hundred twenty-two million, three hundred twelve thousand, three hundred eleven".