21111201122101 has 8 divisors (see below), whose sum is σ = 21118522180824. Its totient is φ = 21103881338880.

The previous prime is 21111201122041. The next prime is 21111201122119. The reversal of 21111201122101 is 10122110211112.

It can be written as a sum of positive squares in 4 ways, for example, as 4451530318225 + 16659670803876 = 2109865^2 + 4081626^2 .

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 21111201122101 - 2¹⁹ = 21111200597813 is a prime.

It is a super-3 number, since 3×21111201122101³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111201122161) 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, 33404821 + ... + 34030933.

It is an arithmetic number, because the mean of its divisors is an integer number (2639815272603).

Almost surely, 2^{21111201122101} is an apocalyptic number.

It is an amenable number.

21111201122101 is a deficient number, since it is larger than the sum of its proper divisors (7321058723).

21111201122101 is an equidigital number, since it uses as much as digits as its factorization.

21111201122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637751.

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

Adding to 21111201122101 its reverse (10122110211112), we get a palindrome (31233311333213).

The spelling of 21111201122101 in words is "twenty-one trillion, one hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred one".