10101001111101 has 96 divisors (see below), whose sum is σ = 15350542212096. Its totient is φ = 6636909312000.

The previous prime is 10101001111087. The next prime is 10101001111111. The reversal of 10101001111101 is 10111110010101.

It is not a de Polignac number, because 10101001111101 - 2²² = 10100996916797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001111111) 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 95 ways as a sum of consecutive naturals, for example, 5516657256 + ... + 5516659086.

It is an arithmetic number, because the mean of its divisors is an integer number (159901481376).

Almost surely, 2^{10101001111101} is an apocalyptic number.

It is an amenable number.

10101001111101 is a deficient number, since it is larger than the sum of its proper divisors (5249541100995).

10101001111101 is a wasteful number, since it uses less digits than its factorization.

10101001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101001111101 its reverse (10111110010101), we get a palindrome (20212111121202).

The spelling of 10101001111101 in words is "ten trillion, one hundred one billion, one million, one hundred eleven thousand, one hundred one".