1001102226165 has 24 divisors (see below), whose sum is σ = 1837317028248. Its totient is φ = 502514058240.

The previous prime is 1001102226161. The next prime is 1001102226239. The reversal of 1001102226165 is 5616222011001.

1001102226165 is a `hidden beast` number, since 10 + 0 + 1 + 10 + 2 + 22 + 616 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126993162321 + 874109063844 = 356361^2 + 934938^2 .

It is not a de Polignac number, because 1001102226165 - 2² = 1001102226161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102226161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654314416 + ... + 654315945.

It is an arithmetic number, because the mean of its divisors is an integer number (76554876177).

Almost surely, 2^{1001102226165} is an apocalyptic number.

1001102226165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001102226165 is a deficient number, since it is larger than the sum of its proper divisors (836214802083).

1001102226165 is a wasteful number, since it uses less digits than its factorization.

1001102226165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308630389 (or 1308630386 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1001102226165 its reverse (5616222011001), we get a palindrome (6617324237166).

The spelling of 1001102226165 in words is "one trillion, one billion, one hundred two million, two hundred twenty-six thousand, one hundred sixty-five".