181010100101101 has 32 divisors (see below), whose sum is σ = 182849962280960. Its totient is φ = 179182594281600.

The previous prime is 181010100101099. The next prime is 181010100101113. The reversal of 181010100101101 is 101101001010181.

It is a cyclic number.

It is not a de Polignac number, because 181010100101101 - 2¹ = 181010100101099 is a prime.

It is a super-2 number, since 2×181010100101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181010100101191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105055193626 + ... + 105055195348.

It is an arithmetic number, because the mean of its divisors is an integer number (5714061321280).

Almost surely, 2^{181010100101101} is an apocalyptic number.

It is an amenable number.

181010100101101 is a deficient number, since it is larger than the sum of its proper divisors (1839862179859).

181010100101101 is a wasteful number, since it uses less digits than its factorization.

181010100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 181010100101101 its reverse (101101001010181), we get a palindrome (282111101111282).

The spelling of 181010100101101 in words is "one hundred eighty-one trillion, ten billion, one hundred million, one hundred one thousand, one hundred one".