10102112311311 has 12 divisors (see below), whose sum is σ = 14591976446320. Its totient is φ = 6734724721920.

The previous prime is 10102112311253. The next prime is 10102112311327. The reversal of 10102112311311 is 11311321120101.

10102112311311 is a `hidden beast` number, since 1 + 0 + 10 + 21 + 12 + 311 + 311 = 666.

It is not a de Polignac number, because 10102112311311 - 2¹⁰ = 10102112310287 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 (10102112311391) 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 11 ways as a sum of consecutive naturals, for example, 3196335 + ... + 5515503.

Almost surely, 2^{10102112311311} is an apocalyptic number.

10102112311311 is a deficient number, since it is larger than the sum of its proper divisors (4489864135009).

10102112311311 is a wasteful number, since it uses less digits than its factorization.

10102112311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803166 (or 2803163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10102112311311 its reverse (11311321120101), we get a palindrome (21413433431412).

The spelling of 10102112311311 in words is "ten trillion, one hundred two billion, one hundred twelve million, three hundred eleven thousand, three hundred eleven".