10100000001 has 96 divisors (see below), whose sum is σ = 17545223808. Its totient is φ = 5118059520.

The previous prime is 10099999951. The next prime is 10100000011. The reversal of 10100000001 is 10000000101.

10100000001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100000001 - 2¹¹ = 10099997953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (10100000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5867821 + ... + 5869541.

It is an arithmetic number, because the mean of its divisors is an integer number (182762748).

Almost surely, 2^10100000001 is an apocalyptic number.

It is an amenable number.

10100000001 is a deficient number, since it is larger than the sum of its proper divisors (7445223807).

10100000001 is a wasteful number, since it uses less digits than its factorization.

10100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10100000001 its reverse (10000000101), we get a palindrome (20100000102).

The spelling of 10100000001 in words is "ten billion, one hundred million, one", and thus it is an aban number.