10111101000101 has 2 divisors, whose sum is σ = 10111101000102. Its totient is φ = 10111101000100.

The previous prime is 10111101000079. The next prime is 10111101000109. The reversal of 10111101000101 is 10100010111101.

It is an a-pointer prime, because the next prime (10111101000109) can be obtained adding 10111101000101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9738300390625 + 372800609476 = 3120625^2 + 610574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111101000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111101000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550500050 + 5055550500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550500051).

Almost surely, 2^{10111101000101} is an apocalyptic number.

It is an amenable number.

10111101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101000101 is an equidigital number, since it uses as much as digits as its factorization.

10111101000101 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 10111101000101 its reverse (10100010111101), we get a palindrome (20211111111202).

The spelling of 10111101000101 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred one", and thus it is an aban number.