10101000111111 has 96 divisors (see below), whose sum is σ = 19078622559360. Its totient is φ = 5005240998912.

The previous prime is 10101000111109. The next prime is 10101000111199. The reversal of 10101000111111 is 11111100010101.

It is not a de Polignac number, because 10101000111111 - 2¹ = 10101000111109 is a prime.

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

10101000111111 is a modest number, since divided by 111111 gives 101010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10101000111093 and 10101000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868340 + ... + 6625913.

It is an arithmetic number, because the mean of its divisors is an integer number (198735651660).

Almost surely, 2^{10101000111111} is an apocalyptic number.

10101000111111 is a deficient number, since it is larger than the sum of its proper divisors (8977622448249).

10101000111111 is a wasteful number, since it uses less digits than its factorization.

10101000111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11494345 (or 11494342 counting only the distinct ones).

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

Adding to 10101000111111 its reverse (11111100010101), we get a palindrome (21212100121212).

The spelling of 10101000111111 in words is "ten trillion, one hundred one billion, one hundred eleven thousand, one hundred eleven".