100011201202201 has 8 divisors (see below), whose sum is σ = 100052638389000. Its totient is φ = 99969764825472.

The previous prime is 100011201202169. The next prime is 100011201202261. The reversal of 100011201202201 is 102202102110001.

It can be written as a sum of positive squares in 4 ways, for example, as 63817729960000 + 36193471242201 = 7988600^2 + 6016101^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100011201202201 - 2⁵ = 100011201202169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011201202261) 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 7 ways as a sum of consecutive naturals, for example, 476563371 + ... + 476773183.

It is an arithmetic number, because the mean of its divisors is an integer number (12506579798625).

Almost surely, 2^{100011201202201} is an apocalyptic number.

It is an amenable number.

100011201202201 is a deficient number, since it is larger than the sum of its proper divisors (41437186799).

100011201202201 is a wasteful number, since it uses less digits than its factorization.

100011201202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405035.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100011201202201 its reverse (102202102110001), we get a palindrome (202213303312202).

The spelling of 100011201202201 in words is "one hundred trillion, eleven billion, two hundred one million, two hundred two thousand, two hundred one".