10101111111011 has 16 divisors (see below), whose sum is σ = 10572195029760. Its totient is φ = 9632724874080.

The previous prime is 10101111110971. The next prime is 10101111111023. The reversal of 10101111111011 is 11011111110101.

It is not a de Polignac number, because 10101111111011 - 2²² = 10101106916707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111110983 and 10101111111001.

It is not an unprimeable number, because it can be changed into a prime (10101111111031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10998320 + ... + 11881298.

It is an arithmetic number, because the mean of its divisors is an integer number (660762189360).

Almost surely, 2^{10101111111011} is an apocalyptic number.

10101111111011 is a deficient number, since it is larger than the sum of its proper divisors (471083918749).

10101111111011 is a wasteful number, since it uses less digits than its factorization.

10101111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884506.

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

Adding to 10101111111011 its reverse (11011111110101), we get a palindrome (21112222221112).

The spelling of 10101111111011 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, eleven".