181001012102201 has 8 divisors (see below), whose sum is σ = 196322475107304. Its totient is φ = 166198920724480.

The previous prime is 181001012102083. The next prime is 181001012102263. The reversal of 181001012102201 is 102201210100181.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 630874364176 + 180370137738025 = 794276^2 + 13430195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 181001012102201 - 2²² = 181001007907897 is a prime.

It is a super-3 number, since 3×181001012102201³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181001012102401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129842906120 + ... + 129842907513.

It is an arithmetic number, because the mean of its divisors is an integer number (24540309388413).

Almost surely, 2^{181001012102201} is an apocalyptic number.

It is an amenable number.

181001012102201 is a deficient number, since it is larger than the sum of its proper divisors (15321463005103).

181001012102201 is a wasteful number, since it uses less digits than its factorization.

181001012102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259685813691.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 181001012102201 its reverse (102201210100181), we get a palindrome (283202222202382).

The spelling of 181001012102201 in words is "one hundred eighty-one trillion, one billion, twelve million, one hundred two thousand, two hundred one".