101112101971 has 2 divisors, whose sum is σ = 101112101972. Its totient is φ = 101112101970.

The previous prime is 101112101969. The next prime is 101112102059. The reversal of 101112101971 is 179101211101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101112101971 - 2¹ = 101112101969 is a prime.

Together with 101112101969, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101112101921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556050985 + 50556050986.

It is an arithmetic number, because the mean of its divisors is an integer number (50556050986).

Almost surely, 2^101112101971 is an apocalyptic number.

101112101971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112101971 is an equidigital number, since it uses as much as digits as its factorization.

101112101971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 25.

The spelling of 101112101971 in words is "one hundred one billion, one hundred twelve million, one hundred one thousand, nine hundred seventy-one".