10111000000101 has 128 divisors (see below), whose sum is σ = 18595174649856. Its totient is φ = 4716085524480.

The previous prime is 10111000000099. The next prime is 10111000000163. The reversal of 10111000000101 is 10100000011101.

It is not a de Polignac number, because 10111000000101 - 2¹ = 10111000000099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111000000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000000201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484766865 + ... + 484787721.

It is an arithmetic number, because the mean of its divisors is an integer number (145274801952).

Almost surely, 2^{10111000000101} is an apocalyptic number.

10111000000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111000000101 is a deficient number, since it is larger than the sum of its proper divisors (8484174649755).

10111000000101 is a wasteful number, since it uses less digits than its factorization.

10111000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25291.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10111000000101 its reverse (10100000011101), we get a palindrome (20211000011202).

It can be divided in two parts, 10 and 111000000101, that added together give a palindrome (111000000111).

The spelling of 10111000000101 in words is "ten trillion, one hundred eleven billion, one hundred one", and thus it is an aban number.