101111111199965 has 8 divisors (see below), whose sum is σ = 121346491865688. Its totient is φ = 80880116676160.

The previous prime is 101111111199919. The next prime is 101111111200031. The reversal of 101111111199965 is 569991111111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32142969453529 + 68968141746436 = 5669477^2 + 8304706^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111111199965 - 2¹⁰ = 101111111198941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096484762 + ... + 1096576971.

It is an arithmetic number, because the mean of its divisors is an integer number (15168311483211).

Almost surely, 2^{101111111199965} is an apocalyptic number.

It is an amenable number.

101111111199965 is a deficient number, since it is larger than the sum of its proper divisors (20235380665723).

101111111199965 is an equidigital number, since it uses as much as digits as its factorization.

101111111199965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193070959.

The product of its (nonzero) digits is 21870, while the sum is 47.

The spelling of 101111111199965 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred ninety-nine thousand, nine hundred sixty-five".