10665161010100 has 36 divisors (see below), whose sum is σ = 23143571147200. Its totient is φ = 4266032744160.

The previous prime is 10665161010073. The next prime is 10665161010107. The reversal of 10665161010100 is 101016156601.

It is a super-2 number, since 2×10665161010100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665161010107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16912261 + ... + 17531539.

Almost surely, 2^{10665161010100} is an apocalyptic number.

10665161010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10665161010100 is an abundant number, since it is smaller than the sum of its proper divisors (12478410137100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10665161010100 is a wasteful number, since it uses less digits than its factorization.

10665161010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791512 (or 791505 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 10665161010100 its reverse (101016156601), we get a palindrome (10766177166701).

The spelling of 10665161010100 in words is "ten trillion, six hundred sixty-five billion, one hundred sixty-one million, ten thousand, one hundred".