10012000101031 has 2 divisors, whose sum is σ = 10012000101032. Its totient is φ = 10012000101030.

The previous prime is 10012000101013. The next prime is 10012000101091. The reversal of 10012000101031 is 13010100021001.

10012000101031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10012000101013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10012000101031 - 2⁷ = 10012000100903 is a prime.

It is a super-2 number, since 2×10012000101031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012000100999 and 10012000101017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012000101011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006000050515 + 5006000050516.

It is an arithmetic number, because the mean of its divisors is an integer number (5006000050516).

Almost surely, 2^{10012000101031} is an apocalyptic number.

10012000101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012000101031 is an equidigital number, since it uses as much as digits as its factorization.

10012000101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10012000101031 its reverse (13010100021001), we get a palindrome (23022100122032).

The spelling of 10012000101031 in words is "ten trillion, twelve billion, one hundred one thousand, thirty-one".