101000100101009 has 4 divisors (see below), whose sum is σ = 101254508414004. Its totient is φ = 100745691788016.

The previous prime is 101000100100981. The next prime is 101000100101057. The reversal of 101000100101009 is 900101001000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44554330059409 + 56445770041600 = 6674903^2 + 7513040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000100101009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101000100100984 and 101000100101002.

It is not an unprimeable number, because it can be changed into a prime (101000100101209) 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 in 3 ways as a sum of consecutive naturals, for example, 127204155902 + ... + 127204156695.

It is an arithmetic number, because the mean of its divisors is an integer number (25313627103501).

Almost surely, 2^{101000100101009} is an apocalyptic number.

It is an amenable number.

101000100101009 is a deficient number, since it is larger than the sum of its proper divisors (254408312995).

101000100101009 is an equidigital number, since it uses as much as digits as its factorization.

101000100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254408312994.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101000100101009 in words is "one hundred one trillion, one hundred million, one hundred one thousand, nine".