21121102111201 has 2 divisors, whose sum is σ = 21121102111202. Its totient is φ = 21121102111200.

The previous prime is 21121102111181. The next prime is 21121102111243. The reversal of 21121102111201 is 10211120112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20185036186176 + 936065925025 = 4492776^2 + 967505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21121102111201 is a prime.

It is a super-2 number, since 2×21121102111201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21121102111261) 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 as a sum of consecutive naturals, namely, 10560551055600 + 10560551055601.

It is an arithmetic number, because the mean of its divisors is an integer number (10560551055601).

Almost surely, 2^{21121102111201} is an apocalyptic number.

It is an amenable number.

21121102111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121102111201 is an equidigital number, since it uses as much as digits as its factorization.

21121102111201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21121102111201 its reverse (10211120112112), we get a palindrome (31332222223313).

The spelling of 21121102111201 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, two hundred one".