21101111000201 has 8 divisors (see below), whose sum is σ = 21423437892744. Its totient is φ = 20781162904320.

The previous prime is 21101111000173. The next prime is 21101111000213. The reversal of 21101111000201 is 10200011110112.

It can be written as a sum of positive squares in 4 ways, for example, as 1482403651600 + 19618707348601 = 1217540^2 + 4429301^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21101111000201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101111000701) 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, 594681290 + ... + 594716771.

It is an arithmetic number, because the mean of its divisors is an integer number (2677929736593).

Almost surely, 2^{21101111000201} is an apocalyptic number.

It is an amenable number.

21101111000201 is a deficient number, since it is larger than the sum of its proper divisors (322326892543).

21101111000201 is a wasteful number, since it uses less digits than its factorization.

21101111000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189398331.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21101111000201 its reverse (10200011110112), we get a palindrome (31301122110313).

The spelling of 21101111000201 in words is "twenty-one trillion, one hundred one billion, one hundred eleven million, two hundred one", and thus it is an aban number.