10122112311 has 16 divisors (see below), whose sum is σ = 14016664800. Its totient is φ = 6491916288.

The previous prime is 10122112289. The next prime is 10122112331. The reversal of 10122112311 is 11321122101.

It is not a de Polignac number, because 10122112311 - 2¹¹ = 10122110263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112331) 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 15 ways as a sum of consecutive naturals, for example, 502426 + ... + 522183.

It is an arithmetic number, because the mean of its divisors is an integer number (876041550).

Almost surely, 2^10122112311 is an apocalyptic number.

10122112311 is a deficient number, since it is larger than the sum of its proper divisors (3894552489).

10122112311 is a wasteful number, since it uses less digits than its factorization.

10122112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024738.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10122112311 its reverse (11321122101), we get a palindrome (21443234412).

The spelling of 10122112311 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, three hundred eleven".