10002012031 has 16 divisors (see below), whose sum is σ = 11048462208. Its totient is φ = 8979141600.

The previous prime is 10002012023. The next prime is 10002012037. The reversal of 10002012031 is 13021020001.

It is not a de Polignac number, because 10002012031 - 2³ = 10002012023 is a prime.

It is a super-2 number, since 2×10002012031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002011999 and 10002012017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012037) 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, 263736 + ... + 299266.

It is an arithmetic number, because the mean of its divisors is an integer number (690528888).

Almost surely, 2^10002012031 is an apocalyptic number.

10002012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002012031 is a deficient number, since it is larger than the sum of its proper divisors (1046450177).

10002012031 is a wasteful number, since it uses less digits than its factorization.

10002012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35862.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002012031 its reverse (13021020001), we get a palindrome (23023032032).

The spelling of 10002012031 in words is "ten billion, two million, twelve thousand, thirty-one".