101111110099965 has 48 divisors (see below), whose sum is σ = 200319745287168. Its totient is φ = 46216809992448.

The previous prime is 101111110099913. The next prime is 101111110099969. The reversal of 101111110099965 is 569990011111101.

It is not a de Polignac number, because 101111110099965 - 2¹⁰ = 101111110098941 is a prime.

It is a super-3 number, since 3×101111110099965³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101111110099965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110099969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16095544 + ... + 21477633.

It is an arithmetic number, because the mean of its divisors is an integer number (4173328026816).

Almost surely, 2^{101111110099965} is an apocalyptic number.

101111110099965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101111110099965 is a deficient number, since it is larger than the sum of its proper divisors (99208635187203).

101111110099965 is a wasteful number, since it uses less digits than its factorization.

101111110099965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37581738 (or 37581735 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 45.

The spelling of 101111110099965 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-nine thousand, nine hundred sixty-five".