101303031253927 has 2 divisors, whose sum is σ = 101303031253928. Its totient is φ = 101303031253926.

The previous prime is 101303031253883. The next prime is 101303031253967. The reversal of 101303031253927 is 729352130303101.

It is an a-pointer prime, because the next prime (101303031253967) can be obtained adding 101303031253927 to its sum of digits (40).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101303031253927 - 2¹⁵ = 101303031221159 is a prime.

It is a super-2 number, since 2×101303031253927² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101303031253927.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101303031253967) 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, 50651515626963 + 50651515626964.

It is an arithmetic number, because the mean of its divisors is an integer number (50651515626964).

Almost surely, 2^{101303031253927} is an apocalyptic number.

101303031253927 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303031253927 is an equidigital number, since it uses as much as digits as its factorization.

101303031253927 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 101303031253927 in words is "one hundred one trillion, three hundred three billion, thirty-one million, two hundred fifty-three thousand, nine hundred twenty-seven".