101111100101011 has 32 divisors (see below), whose sum is σ = 135841937011200. Its totient is φ = 72682063361280.

The previous prime is 101111100100949. The next prime is 101111100101071. The reversal of 101111100101011 is 110101001111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111100101011 - 2³¹ = 101108952617363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111100101071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29778481 + ... + 32999698.

It is an arithmetic number, because the mean of its divisors is an integer number (4245060531600).

Almost surely, 2^{101111100101011} is an apocalyptic number.

101111100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111100101011 is a deficient number, since it is larger than the sum of its proper divisors (34730836910189).

101111100101011 is a wasteful number, since it uses less digits than its factorization.

101111100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62779819.

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

Adding to 101111100101011 its reverse (110101001111101), we get a palindrome (211212101212112).

The spelling of 101111100101011 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred one thousand, eleven".