1001100101009 has 4 divisors (see below), whose sum is σ = 1001102198580. Its totient is φ = 1001098003440.

The previous prime is 1001100100991. The next prime is 1001100101011. The reversal of 1001100101009 is 9001010011001.

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 588104934400 + 412995166609 = 766880^2 + 642647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100101009 - 2³² = 996805133713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100100984 and 1001100101002.

It is not an unprimeable number, because it can be changed into a prime (1001100103009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52787 + ... + 1415975.

It is an arithmetic number, because the mean of its divisors is an integer number (250275549645).

Almost surely, 2^{1001100101009} is an apocalyptic number.

It is an amenable number.

1001100101009 is a deficient number, since it is larger than the sum of its proper divisors (2097571).

1001100101009 is an equidigital number, since it uses as much as digits as its factorization.

1001100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097570.

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

The spelling of 1001100101009 in words is "one trillion, one billion, one hundred million, one hundred one thousand, nine".