10100002031 has 8 divisors (see below), whose sum is σ = 11554262304. Its totient is φ = 8648592480.

The previous prime is 10100002009. The next prime is 10100002043. The reversal of 10100002031 is 13020000101.

10100002031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100002031 - 2¹⁴ = 10099985647 is a prime.

It is a super-3 number, since 3×10100002031³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109002031) 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 7 ways as a sum of consecutive naturals, for example, 705080 + ... + 719261.

It is an arithmetic number, because the mean of its divisors is an integer number (1444282788).

Almost surely, 2^10100002031 is an apocalyptic number.

10100002031 is a deficient number, since it is larger than the sum of its proper divisors (1454260273).

10100002031 is a wasteful number, since it uses less digits than its factorization.

10100002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425361.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10100002031 its reverse (13020000101), we get a palindrome (23120002132).

The spelling of 10100002031 in words is "ten billion, one hundred million, two thousand, thirty-one".