10010001100109 has 8 divisors (see below), whose sum is σ = 10012620714240. Its totient is φ = 10007381838096.

The previous prime is 10010001100103. The next prime is 10010001100123. The reversal of 10010001100109 is 90100110001001.

It is a happy number.

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 10010001100109 - 2¹² = 10010001096013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010001100093 and 10010001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001100103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62448464 + ... + 62608550.

It is an arithmetic number, because the mean of its divisors is an integer number (1251577589280).

Almost surely, 2^{10010001100109} is an apocalyptic number.

It is an amenable number.

10010001100109 is a deficient number, since it is larger than the sum of its proper divisors (2619614131).

10010001100109 is an equidigital number, since it uses as much as digits as its factorization.

10010001100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176059.

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

The spelling of 10010001100109 in words is "ten trillion, ten billion, one million, one hundred thousand, one hundred nine".