101110464129089 has 2 divisors, whose sum is σ = 101110464129090. Its totient is φ = 101110464129088.

The previous prime is 101110464129029. The next prime is 101110464129131. The reversal of 101110464129089 is 980921464011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62381436868864 + 38729027260225 = 7898192^2 + 6223265^2 .

It is an emirp because it is prime and its reverse (980921464011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110464129089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110464129029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555232064544 + 50555232064545.

It is an arithmetic number, because the mean of its divisors is an integer number (50555232064545).

Almost surely, 2^{101110464129089} is an apocalyptic number.

It is an amenable number.

101110464129089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110464129089 is an equidigital number, since it uses as much as digits as its factorization.

101110464129089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 101110464129089 in words is "one hundred one trillion, one hundred ten billion, four hundred sixty-four million, one hundred twenty-nine thousand, eighty-nine".