10111111100101 has 8 divisors (see below), whose sum is σ = 11286821693664. Its totient is φ = 8978153619120.

The previous prime is 10111111100099. The next prime is 10111111100119. The reversal of 10111111100101 is 10100111111101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111111100101 - 2¹ = 10111111100099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10688277646 + ... + 10688278591.

It is an arithmetic number, because the mean of its divisors is an integer number (1410852711708).

Almost surely, 2^{10111111100101} is an apocalyptic number.

10111111100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111111100101 is a deficient number, since it is larger than the sum of its proper divisors (1175710593563).

10111111100101 is a wasteful number, since it uses less digits than its factorization.

10111111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376556291.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111111100101 its reverse (10100111111101), we get a palindrome (20211222211202).

The spelling of 10111111100101 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred one".