10201100031 has 6 divisors (see below), whose sum is σ = 14734922280. Its totient is φ = 6800733348.

The previous prime is 10201100023. The next prime is 10201100123. The reversal of 10201100031 is 13000110201.

10201100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201100031 - 2³ = 10201100023 is a prime.

It is a super-2 number, since 2×10201100031² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1133455559 = 10201100031 / (1 + 0 + 2 + 0 + 1 + 1 + 0 + 0 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10201099986 and 10201100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201100431) 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 5 ways as a sum of consecutive naturals, for example, 566727771 + ... + 566727788.

It is an arithmetic number, because the mean of its divisors is an integer number (2455820380).

Almost surely, 2^10201100031 is an apocalyptic number.

10201100031 is a deficient number, since it is larger than the sum of its proper divisors (4533822249).

10201100031 is a wasteful number, since it uses less digits than its factorization.

10201100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133455565 (or 1133455562 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10201100031 its reverse (13000110201), we get a palindrome (23201210232).

The spelling of 10201100031 in words is "ten billion, two hundred one million, one hundred thousand, thirty-one".