10108100901 has 16 divisors (see below), whose sum is σ = 13915865600. Its totient is φ = 6519648960.

The previous prime is 10108100879. The next prime is 10108100921. The reversal of 10108100901 is 10900180101.

10108100901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10108100901 - 2⁵ = 10108100869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108100921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411111 + ... + 435003.

It is an arithmetic number, because the mean of its divisors is an integer number (869741600).

Almost surely, 2^10108100901 is an apocalyptic number.

It is an amenable number.

10108100901 is a deficient number, since it is larger than the sum of its proper divisors (3807764699).

10108100901 is a wasteful number, since it uses less digits than its factorization.

10108100901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28476.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 10108100901 in words is "ten billion, one hundred eight million, one hundred thousand, nine hundred one".