101011011111111 has 16 divisors (see below), whose sum is σ = 135383311807488. Its totient is φ = 66990481857600.

The previous prime is 101011011111053. The next prime is 101011011111113. The reversal of 101011011111111 is 111111110110101.

It is not a de Polignac number, because 101011011111111 - 2³⁷ = 100873572157639 is a prime.

101011011111111 is a modest number, since divided by 11111111 gives 1010110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011011111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98189505 + ... + 99212906.

It is an arithmetic number, because the mean of its divisors is an integer number (8461456987968).

Almost surely, 2^{101011011111111} is an apocalyptic number.

101011011111111 is a deficient number, since it is larger than the sum of its proper divisors (34372300696377).

101011011111111 is a wasteful number, since it uses less digits than its factorization.

101011011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197403302.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101011011111111 its reverse (111111110110101), we get a palindrome (212122121221212).

The spelling of 101011011111111 in words is "one hundred one trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred eleven".