10000001101 has 2 divisors, whose sum is σ = 10000001102. Its totient is φ = 10000001100.

The previous prime is 10000001087. The next prime is 10000001113. The reversal of 10000001101 is 10110000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9716044900 + 283956201 = 98570^2 + 16851^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001101 - 2⁹ = 10000000589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000008101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000550 + 5000000551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000551).

Almost surely, 2^10000001101 is an apocalyptic number.

It is an amenable number.

10000001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001101 is an equidigital number, since it uses as much as digits as its factorization.

10000001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000001101 its reverse (10110000001), we get a palindrome (20110001102).

It can be divided in two parts, 10000001 and 101, that multiplied together give a palindrome (1010000101).

The spelling of 10000001101 in words is "ten billion, one thousand, one hundred one".