10010010100101 has 16 divisors (see below), whose sum is σ = 14594599069248. Its totient is φ = 6052262630400.

The previous prime is 10010010100021. The next prime is 10010010100151. The reversal of 10010010100101 is 10100101001001.

It is not a de Polignac number, because 10010010100101 - 2¹⁰ = 10010010099077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010100151) 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, 360239836 + ... + 360267621.

It is an arithmetic number, because the mean of its divisors is an integer number (912162441828).

Almost surely, 2^{10010010100101} is an apocalyptic number.

10010010100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010100101 is a deficient number, since it is larger than the sum of its proper divisors (4584588969147).

10010010100101 is a wasteful number, since it uses less digits than its factorization.

10010010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720507892.

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

Adding to 10010010100101 its reverse (10100101001001), we get a palindrome (20110111101102).

It can be divided in two parts, 100100 and 10100101, that added together give a palindrome (10200201).

The spelling of 10010010100101 in words is "ten trillion, ten billion, ten million, one hundred thousand, one hundred one".