21100201122201 has 8 divisors (see below), whose sum is σ = 28819786898784. Its totient is φ = 13723708046880.

The previous prime is 21100201122191. The next prime is 21100201122233. The reversal of 21100201122201 is 10222110200112.

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

It is not a de Polignac number, because 21100201122201 - 2⁶ = 21100201122137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100201122001) 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, 85773175171 + ... + 85773175416.

It is an arithmetic number, because the mean of its divisors is an integer number (3602473362348).

Almost surely, 2^{21100201122201} is an apocalyptic number.

It is an amenable number.

21100201122201 is a deficient number, since it is larger than the sum of its proper divisors (7719585776583).

21100201122201 is a wasteful number, since it uses less digits than its factorization.

21100201122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171546350631.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100201122201 its reverse (10222110200112), we get a palindrome (31322311322313).

The spelling of 21100201122201 in words is "twenty-one trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, two hundred one".