10100111111101 has 4 divisors (see below), whose sum is σ = 11018303030304. Its totient is φ = 9181919191900.

The previous prime is 10100111111047. The next prime is 10100111111117. The reversal of 10100111111101 is 10111111100101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100111111101 - 2¹⁵ = 10100111078333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111111131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459095959585 + ... + 459095959606.

It is an arithmetic number, because the mean of its divisors is an integer number (2754575757576).

Almost surely, 2^{10100111111101} is an apocalyptic number.

10100111111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100111111101 is a deficient number, since it is larger than the sum of its proper divisors (918191919203).

10100111111101 is an equidigital number, since it uses as much as digits as its factorization.

10100111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918191919202.

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

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

The spelling of 10100111111101 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred one".