10100111111011 has 2 divisors, whose sum is σ = 10100111111012. Its totient is φ = 10100111111010.

The previous prime is 10100111110993. The next prime is 10100111111047. The reversal of 10100111111011 is 11011111100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111111011 - 2¹⁵ = 10100111078243 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100111111411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055555505 + 5050055555506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055555506).

Almost surely, 2^{10100111111011} is an apocalyptic number.

10100111111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111111011 is an equidigital number, since it uses as much as digits as its factorization.

10100111111011 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100111111011 its reverse (11011111100101), we get a palindrome (21111222211112).

It can be divided in two parts, 10100 and 111111011, that added together give a palindrome (111121111).

The spelling of 10100111111011 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, eleven".