10031123300101 has 2 divisors, whose sum is σ = 10031123300102. Its totient is φ = 10031123300100.

The previous prime is 10031123300057. The next prime is 10031123300117. The reversal of 10031123300101 is 10100332113001.

It is an a-pointer prime, because the next prime (10031123300117) can be obtained adding 10031123300101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9611674072900 + 419449227201 = 3100270^2 + 647649^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031123300101 - 2³⁷ = 9893684346629 is a prime.

It is a super-2 number, since 2×10031123300101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031123300141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015561650050 + 5015561650051.

It is an arithmetic number, because the mean of its divisors is an integer number (5015561650051).

Almost surely, 2^{10031123300101} is an apocalyptic number.

It is an amenable number.

10031123300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031123300101 is an equidigital number, since it uses as much as digits as its factorization.

10031123300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10031123300101 its reverse (10100332113001), we get a palindrome (20131455413102).

The spelling of 10031123300101 in words is "ten trillion, thirty-one billion, one hundred twenty-three million, three hundred thousand, one hundred one".