10000101111101 has 2 divisors, whose sum is σ = 10000101111102. Its totient is φ = 10000101111100.

The previous prime is 10000101111097. The next prime is 10000101111149. The reversal of 10000101111101 is 10111110100001.

10000101111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5020732008601 + 4979369102500 = 2240699^2 + 2231450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101111101 - 2² = 10000101111097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101141101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050555550 + 5000050555551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050555551).

Almost surely, 2^{10000101111101} is an apocalyptic number.

It is an amenable number.

10000101111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101111101 is an equidigital number, since it uses as much as digits as its factorization.

10000101111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10000101111101 its reverse (10111110100001), we get a palindrome (20111211211102).

It can be divided in two parts, 10000 and 101111101, that added together give a palindrome (101121101).

The spelling of 10000101111101 in words is "ten trillion, one hundred one million, one hundred eleven thousand, one hundred one".