101055511105 has 16 divisors (see below), whose sum is σ = 121775821200. Its totient is φ = 80505227520.

The previous prime is 101055511091. The next prime is 101055511111. The reversal of 101055511105 is 501115550101.

It can be written as a sum of positive squares in 8 ways, for example, as 1582766656 + 99472744449 = 39784^2 + 315393^2 .

It is not a de Polignac number, because 101055511105 - 2⁷ = 101055510977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101055511105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970331 + ... + 3004159.

It is an arithmetic number, because the mean of its divisors is an integer number (7610988825).

Almost surely, 2^101055511105 is an apocalyptic number.

It is an amenable number.

101055511105 is a deficient number, since it is larger than the sum of its proper divisors (20720310095).

101055511105 is a wasteful number, since it uses less digits than its factorization.

101055511105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36324.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 101055511105 in words is "one hundred one billion, fifty-five million, five hundred eleven thousand, one hundred five".