21202112111101 has 2 divisors, whose sum is σ = 21202112111102. Its totient is φ = 21202112111100.

The previous prime is 21202112111071. The next prime is 21202112111207. The reversal of 21202112111101 is 10111121120212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17216698788601 + 3985413322500 = 4149301^2 + 1996350^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202112111101 - 2²⁵ = 21202078556669 is a prime.

It is a super-3 number, since 3×21202112111101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202112115101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601056055550 + 10601056055551.

It is an arithmetic number, because the mean of its divisors is an integer number (10601056055551).

Almost surely, 2^{21202112111101} is an apocalyptic number.

It is an amenable number.

21202112111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202112111101 is an equidigital number, since it uses as much as digits as its factorization.

21202112111101 is an evil number, because the sum of its binary digits is even.

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

Adding to 21202112111101 its reverse (10111121120212), we get a palindrome (31313233231313).

The spelling of 21202112111101 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, one hundred eleven thousand, one hundred one".