101110431300971 has 2 divisors, whose sum is σ = 101110431300972. Its totient is φ = 101110431300970.

The previous prime is 101110431300883. The next prime is 101110431301013. The reversal of 101110431300971 is 179003134011101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101110431300971 - 2¹⁰ = 101110431299947 is a prime.

It is a super-2 number, since 2×101110431300971² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101110431300271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555215650485 + 50555215650486.

It is an arithmetic number, because the mean of its divisors is an integer number (50555215650486).

Almost surely, 2^{101110431300971} is an apocalyptic number.

101110431300971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110431300971 is an equidigital number, since it uses as much as digits as its factorization.

101110431300971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 101110431300971 in words is "one hundred one trillion, one hundred ten billion, four hundred thirty-one million, three hundred thousand, nine hundred seventy-one".