10100001010101 has 32 divisors (see below), whose sum is σ = 13968558259200. Its totient is φ = 6486027724800.

The previous prime is 10100001010061. The next prime is 10100001010163. The reversal of 10100001010101 is 10101010000101.

It is not a de Polignac number, because 10100001010101 - 2⁶ = 10100001010037 is a prime.

10100001010101 is a modest number, since divided by 1010101 gives 101000 as remainder.

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 10100001010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001010181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236407420 + ... + 236450138.

It is an arithmetic number, because the mean of its divisors is an integer number (436517445600).

Almost surely, 2^{10100001010101} is an apocalyptic number.

It is an amenable number.

10100001010101 is a deficient number, since it is larger than the sum of its proper divisors (3868557249099).

10100001010101 is a wasteful number, since it uses less digits than its factorization.

10100001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63949.

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

Adding to 10100001010101 its reverse (10101010000101), we get a palindrome (20201011010202).

The spelling of 10100001010101 in words is "ten trillion, one hundred billion, one million, ten thousand, one hundred one".