105511010101 has 16 divisors (see below), whose sum is σ = 125017431040. Its totient is φ = 87138426240.

The previous prime is 105511010081. The next prime is 105511010107. The reversal of 105511010101 is 101010115501.

It is a cyclic number.

It is not a de Polignac number, because 105511010101 - 2⁵ = 105511010069 is a prime.

It is a super-2 number, since 2×105511010101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105511010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011936 + ... + 1111321.

It is an arithmetic number, because the mean of its divisors is an integer number (7813589440).

Almost surely, 2^105511010101 is an apocalyptic number.

It is an amenable number.

105511010101 is a deficient number, since it is larger than the sum of its proper divisors (19506420939).

105511010101 is a wasteful number, since it uses less digits than its factorization.

105511010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123524.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105511010101 its reverse (101010115501), we get a palindrome (206521125602).

The spelling of 105511010101 in words is "one hundred five billion, five hundred eleven million, ten thousand, one hundred one".