21201132111121 has 2 divisors, whose sum is σ = 21201132111122. Its totient is φ = 21201132111120.

The previous prime is 21201132111109. The next prime is 21201132111191. The reversal of 21201132111121 is 12111123110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18523245330496 + 2677886780625 = 4303864^2 + 1636425^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201132111121 - 2⁴³ = 12405039088913 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201132111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600566055560 + 10600566055561.

It is an arithmetic number, because the mean of its divisors is an integer number (10600566055561).

Almost surely, 2^{21201132111121} is an apocalyptic number.

It is an amenable number.

21201132111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201132111121 is an equidigital number, since it uses as much as digits as its factorization.

21201132111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 21201132111121 its reverse (12111123110212), we get a palindrome (33312255221333).

Subtracting from 21201132111121 its reverse (12111123110212), we obtain a palindrome (9090009000909).

The spelling of 21201132111121 in words is "twenty-one trillion, two hundred one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred twenty-one".