10000000101101 has 4 divisors (see below), whose sum is σ = 10050761523132. Its totient is φ = 9949238679072.

The previous prime is 10000000101079. The next prime is 10000000101109. The reversal of 10000000101101 is 10110100000001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6189895202500 + 3810104898601 = 2487950^2 + 1951949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000000101101 - 2¹⁸ = 9999999838957 is a prime.

It is a Duffinian number.

10000000101101 is a modest number, since divided by 101101 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000101109) 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, 25380710720 + ... + 25380711113.

It is an arithmetic number, because the mean of its divisors is an integer number (2512690380783).

Almost surely, 2^{10000000101101} is an apocalyptic number.

It is an amenable number.

10000000101101 is a deficient number, since it is larger than the sum of its proper divisors (50761422031).

10000000101101 is an equidigital number, since it uses as much as digits as its factorization.

10000000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50761422030.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000000101101 its reverse (10110100000001), we get a palindrome (20110100101102).

The spelling of 10000000101101 in words is "ten trillion, one hundred one thousand, one hundred one".