21112102121101 has 2 divisors, whose sum is σ = 21112102121102. Its totient is φ = 21112102121100.

The previous prime is 21112102121087. The next prime is 21112102121129. The reversal of 21112102121101 is 10112120121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19807083765225 + 1305018355876 = 4450515^2 + 1142374^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112102121101 - 2⁹ = 21112102120589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21112102121701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556051060550 + 10556051060551.

It is an arithmetic number, because the mean of its divisors is an integer number (10556051060551).

Almost surely, 2^{21112102121101} is an apocalyptic number.

It is an amenable number.

21112102121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112102121101 is an equidigital number, since it uses as much as digits as its factorization.

21112102121101 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 21112102121101 its reverse (10112120121112), we get a palindrome (31224222242213).

The spelling of 21112102121101 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred twenty-one thousand, one hundred one".