10100010110101 has 12 divisors (see below), whose sum is σ = 10690110763500. Its totient is φ = 9541013804928.

The previous prime is 10100010110093. The next prime is 10100010110111. The reversal of 10100010110101 is 10101101000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6586537280625 + 3513472829476 = 2566425^2 + 1874426^2 .

It is not a de Polignac number, because 10100010110101 - 2³ = 10100010110093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010110111) 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 11 ways as a sum of consecutive naturals, for example, 39956916 + ... + 40208893.

It is an arithmetic number, because the mean of its divisors is an integer number (890842563625).

Almost surely, 2^{10100010110101} is an apocalyptic number.

It is an amenable number.

10100010110101 is a deficient number, since it is larger than the sum of its proper divisors (590100653399).

10100010110101 is an equidigital number, since it uses as much as digits as its factorization.

10100010110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80166196 (or 80166177 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100010110101 its reverse (10101101000101), we get a palindrome (20201111110202).

It can be divided in two parts, 101000101 and 10101, that multiplied together give a palindrome (1020202020201).

The spelling of 10100010110101 in words is "ten trillion, one hundred billion, ten million, one hundred ten thousand, one hundred one".