101100110101009 has 2 divisors, whose sum is σ = 101100110101010. Its totient is φ = 101100110101008.

The previous prime is 101100110100961. The next prime is 101100110101057. The reversal of 101100110101009 is 900101011001101.

It is a balanced prime because it is at equal distance from previous prime (101100110100961) and next prime (101100110101057).

It can be written as a sum of positive squares in only one way, i.e., 87627796784784 + 13472313316225 = 9360972^2 + 3670465^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110101009 - 2⁷ = 101100110100881 is a prime.

It is a super-2 number, since 2×101100110101009² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100110100983 and 101100110101001.

It is not a weakly prime, because it can be changed into another prime (101100110101079) 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, 50550055050504 + 50550055050505.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055050505).

Almost surely, 2^{101100110101009} is an apocalyptic number.

It is an amenable number.

101100110101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110101009 is an equidigital number, since it uses as much as digits as its factorization.

101100110101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 101100110101009 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred one thousand, nine".