10100110100101 has 8 divisors (see below), whose sum is σ = 11545691990144. Its totient is φ = 8655205464720.

The previous prime is 10100110100063. The next prime is 10100110100107. The reversal of 10100110100101 is 10100101100101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100110100101 - 2⁷ = 10100110099973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110100107) 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 7 ways as a sum of consecutive naturals, for example, 169281705 + ... + 169341358.

It is an arithmetic number, because the mean of its divisors is an integer number (1443211498768).

Almost surely, 2^{10100110100101} is an apocalyptic number.

It is an amenable number.

10100110100101 is a deficient number, since it is larger than the sum of its proper divisors (1445581890043).

10100110100101 is an equidigital number, since it uses as much as digits as its factorization.

10100110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338627331.

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

Adding to 10100110100101 its reverse (10100101100101), we get a palindrome (20200211200202).

Subtracting from 10100110100101 its reverse (10100101100101), we obtain a square (9000000 = 3000²).

The spelling of 10100110100101 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred one".