101111111009971 has 2 divisors, whose sum is σ = 101111111009972. Its totient is φ = 101111111009970.

The previous prime is 101111111009947. The next prime is 101111111010023. The reversal of 101111111009971 is 179900111111101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111111009971 is a prime.

It is a super-2 number, since 2×101111111009971² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111111009071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555504985 + 50555555504986.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555504986).

Almost surely, 2^{101111111009971} is an apocalyptic number.

101111111009971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111009971 is an equidigital number, since it uses as much as digits as its factorization.

101111111009971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 34.

The spelling of 101111111009971 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, nine thousand, nine hundred seventy-one".