10031011101 has 12 divisors (see below), whose sum is σ = 14495018460. Its totient is φ = 6684672960.

The previous prime is 10031010991. The next prime is 10031011139. The reversal of 10031011101 is 10111013001.

10031011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1806335001 + 8224676100 = 42501^2 + 90690^2 .

It is not a de Polignac number, because 10031011101 - 2¹⁴ = 10030994717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031011141) 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, 198366 + ... + 243743.

It is an arithmetic number, because the mean of its divisors is an integer number (1207918205).

Almost surely, 2^10031011101 is an apocalyptic number.

It is an amenable number.

10031011101 is a deficient number, since it is larger than the sum of its proper divisors (4464007359).

10031011101 is a wasteful number, since it uses less digits than its factorization.

10031011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444636 (or 444633 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10031011101 its reverse (10111013001), we get a palindrome (20142024102).

The spelling of 10031011101 in words is "ten billion, thirty-one million, eleven thousand, one hundred one".