110100101009 has 8 divisors (see below), whose sum is σ = 110388893640. Its totient is φ = 109811404800.

The previous prime is 110100100951. The next prime is 110100101047. The reversal of 110100101009 is 900101001011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63129075025 + 46971025984 = 251255^2 + 216728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110100101009 - 2⁸ = 110100100753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100100984 and 110100101002.

It is not an unprimeable number, because it can be changed into a prime (110100161009) 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 7 ways as a sum of consecutive naturals, for example, 2646449 + ... + 2687729.

It is an arithmetic number, because the mean of its divisors is an integer number (13798611705).

Almost surely, 2^110100101009 is an apocalyptic number.

It is an amenable number.

110100101009 is a deficient number, since it is larger than the sum of its proper divisors (288792631).

110100101009 is an equidigital number, since it uses as much as digits as its factorization.

110100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48211.

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

The spelling of 110100101009 in words is "one hundred ten billion, one hundred million, one hundred one thousand, nine".