21122211116201 has 24 divisors (see below), whose sum is σ = 23045519692800. Its totient is φ = 19349718024000.

The previous prime is 21122211116143. The next prime is 21122211116207. The reversal of 21122211116201 is 10261111222112.

It is not a de Polignac number, because 21122211116201 - 2¹⁸ = 21122210854057 is a prime.

It is a super-3 number, since 3×21122211116201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122211116207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28618946 + ... + 29347716.

It is an arithmetic number, because the mean of its divisors is an integer number (960229987200).

Almost surely, 2^{21122211116201} is an apocalyptic number.

It is an amenable number.

21122211116201 is a deficient number, since it is larger than the sum of its proper divisors (1923308576599).

21122211116201 is a wasteful number, since it uses less digits than its factorization.

21122211116201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730097 (or 730084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 21122211116201 its reverse (10261111222112), we get a palindrome (31383322338313).

The spelling of 21122211116201 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred sixteen thousand, two hundred one".