101112112010071 has 2 divisors, whose sum is σ = 101112112010072. Its totient is φ = 101112112010070.

The previous prime is 101112112010057. The next prime is 101112112010101. The reversal of 101112112010071 is 170010211211101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112112010071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112112310071) 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, 50556056005035 + 50556056005036.

It is an arithmetic number, because the mean of its divisors is an integer number (50556056005036).

Almost surely, 2^{101112112010071} is an apocalyptic number.

101112112010071 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112112010071 is an equidigital number, since it uses as much as digits as its factorization.

101112112010071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 101112112010071 its reverse (170010211211101), we get a palindrome (271122323221172).

The spelling of 101112112010071 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, ten thousand, seventy-one".