21101111102201 has 8 divisors (see below), whose sum is σ = 22949266302984. Its totient is φ = 19285097731200.

The previous prime is 21101111102189. The next prime is 21101111102293. The reversal of 21101111102201 is 10220111110112.

It can be written as a sum of positive squares in 4 ways, for example, as 1607570410000 + 19493540692201 = 1267900^2 + 4415149^2 .

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 21101111102201 - 2³⁰ = 21100037360377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101111104201) 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, 8035456076 + ... + 8035458701.

It is an arithmetic number, because the mean of its divisors is an integer number (2868658287873).

Almost surely, 2^{21101111102201} is an apocalyptic number.

It is an amenable number.

21101111102201 is a deficient number, since it is larger than the sum of its proper divisors (1848155200783).

21101111102201 is a wasteful number, since it uses less digits than its factorization.

21101111102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070914891.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21101111102201 its reverse (10220111110112), we get a palindrome (31321222212313).

The spelling of 21101111102201 in words is "twenty-one trillion, one hundred one billion, one hundred eleven million, one hundred two thousand, two hundred one".