100011110112165 has 64 divisors (see below), whose sum is σ = 189310300070400. Its totient is φ = 44113266269184.

The previous prime is 100011110112163. The next prime is 100011110112257. The reversal of 100011110112165 is 561211011110001.

It is not a de Polignac number, because 100011110112165 - 2¹ = 100011110112163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011110112163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6453270 + ... + 15545639.

It is an arithmetic number, because the mean of its divisors is an integer number (2957973438600).

Almost surely, 2^{100011110112165} is an apocalyptic number.

100011110112165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100011110112165 is a deficient number, since it is larger than the sum of its proper divisors (89299189958235).

100011110112165 is a wasteful number, since it uses less digits than its factorization.

100011110112165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000446.

The product of its (nonzero) digits is 60, while the sum is 21.

Adding to 100011110112165 its reverse (561211011110001), we get a palindrome (661222121222166).

The spelling of 100011110112165 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twelve thousand, one hundred sixty-five".