10100910000101 has 4 divisors (see below), whose sum is σ = 10100920490412. Its totient is φ = 10100899509792.

The previous prime is 10100910000079. The next prime is 10100910000119. The reversal of 10100910000101 is 10100001900101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4972904460001 + 5128005540100 = 2230001^2 + 2264510^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100910000101 - 2²² = 10100905805797 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 (10100910000901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3636350 + ... + 5781423.

It is an arithmetic number, because the mean of its divisors is an integer number (2525230122603).

Almost surely, 2^{10100910000101} is an apocalyptic number.

It is an amenable number.

10100910000101 is a deficient number, since it is larger than the sum of its proper divisors (10490311).

10100910000101 is an equidigital number, since it uses as much as digits as its factorization.

10100910000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490310.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10100910000101 its reverse (10100001900101), we get a palindrome (20200911900202).

The spelling of 10100910000101 in words is "ten trillion, one hundred billion, nine hundred ten million, one hundred one", and thus it is an aban number.