101010000000001 has 32 divisors (see below), whose sum is σ = 104852271741696. Its totient is φ = 97271280000000.

The previous prime is 101009999999969. The next prime is 101010000000059. The reversal of 101010000000001 is 100000000010101.

It is a cyclic number.

It is not a de Polignac number, because 101010000000001 - 2⁵ = 101009999999969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010000000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152194126 + ... + 152856376.

It is an arithmetic number, because the mean of its divisors is an integer number (3276633491928).

Almost surely, 2^{101010000000001} is an apocalyptic number.

It is an amenable number.

101010000000001 is a deficient number, since it is larger than the sum of its proper divisors (3842271741695).

101010000000001 is a wasteful number, since it uses less digits than its factorization.

101010000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662713.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101010000000001 its reverse (100000000010101), we get a palindrome (201010000010102).

The spelling of 101010000000001 in words is "one hundred one trillion, ten billion, one", and thus it is an aban number.