10101111101111 has 8 divisors (see below), whose sum is σ = 10144081887984. Its totient is φ = 10058149054080.

The previous prime is 10101111101093. The next prime is 10101111101173. The reversal of 10101111101111 is 11110111110101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111101111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111101092 and 10101111101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111101611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136700 + ... + 4496766.

It is an arithmetic number, because the mean of its divisors is an integer number (1268010235998).

Almost surely, 2^{10101111101111} is an apocalyptic number.

10101111101111 is a deficient number, since it is larger than the sum of its proper divisors (42970786873).

10101111101111 is an equidigital number, since it uses as much as digits as its factorization.

10101111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369921.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10101111101111 its reverse (11110111110101), we get a palindrome (21211222211212).

It can be divided in two parts, 10101 and 111101111, that multiplied together give a palindrome (1122232322211).

The spelling of 10101111101111 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred eleven".