10100110000101 has 24 divisors (see below), whose sum is σ = 15606083789664. Its totient is φ = 5761203559680.

The previous prime is 10100110000087. The next prime is 10100110000157. The reversal of 10100110000101 is 10100001100101.

It is not a de Polignac number, because 10100110000101 - 2⁶ = 10100110000037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529512850 + ... + 529531923.

It is an arithmetic number, because the mean of its divisors is an integer number (650253491236).

Almost surely, 2^{10100110000101} is an apocalyptic number.

10100110000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100110000101 is a deficient number, since it is larger than the sum of its proper divisors (5505973789563).

10100110000101 is a wasteful number, since it uses less digits than its factorization.

10100110000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059044821 (or 1059044804 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100110000101 its reverse (10100001100101), we get a palindrome (20200111100202).

The spelling of 10100110000101 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one", and thus it is an aban number.