101011101099971 has 2 divisors, whose sum is σ = 101011101099972. Its totient is φ = 101011101099970.

The previous prime is 101011101099947. The next prime is 101011101100031. The reversal of 101011101099971 is 179990101110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101011101099971 - 2⁴² = 96613054588867 is a prime.

It is a super-2 number, since 2×101011101099971² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011101099901) 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, 50505550549985 + 50505550549986.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550549986).

Almost surely, 2^{101011101099971} is an apocalyptic number.

101011101099971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011101099971 is an equidigital number, since it uses as much as digits as its factorization.

101011101099971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 41.

The spelling of 101011101099971 in words is "one hundred one trillion, eleven billion, one hundred one million, ninety-nine thousand, nine hundred seventy-one".