10101111011111 has 16 divisors (see below), whose sum is σ = 10539347336448. Its totient is φ = 9669993062400.

The previous prime is 10101111011011. The next prime is 10101111011143. The reversal of 10101111011111 is 11111011110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111011111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111011092 and 10101111011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111011011) 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 15 ways as a sum of consecutive naturals, for example, 5693951 + ... + 7254191.

It is an arithmetic number, because the mean of its divisors is an integer number (658709208528).

Almost surely, 2^{10101111011111} is an apocalyptic number.

10101111011111 is a deficient number, since it is larger than the sum of its proper divisors (438236325337).

10101111011111 is a wasteful number, since it uses less digits than its factorization.

10101111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562522.

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

Adding to 10101111011111 its reverse (11111011110101), we get a palindrome (21212122121212).

The spelling of 10101111011111 in words is "ten trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred eleven".