101111010101011 has 16 divisors (see below), whose sum is σ = 106602245849088. Its totient is φ = 95711940412000.

The previous prime is 101111010100987. The next prime is 101111010101053. The reversal of 101111010101011 is 110101010111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111010101011 - 2²⁵ = 101110976546579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111010101111) 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, 5405491 + ... + 15213196.

It is an arithmetic number, because the mean of its divisors is an integer number (6662640365568).

Almost surely, 2^{101111010101011} is an apocalyptic number.

101111010101011 is a deficient number, since it is larger than the sum of its proper divisors (5491235748077).

101111010101011 is a wasteful number, since it uses less digits than its factorization.

101111010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620922.

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

Adding to 101111010101011 its reverse (110101010111101), we get a palindrome (211212020212112).

The spelling of 101111010101011 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred one thousand, eleven".