21000101107201 has 2 divisors, whose sum is σ = 21000101107202. Its totient is φ = 21000101107200.

The previous prime is 21000101107199. The next prime is 21000101107217. The reversal of 21000101107201 is 10270110100012.

It is an a-pointer prime, because the next prime (21000101107217) can be obtained adding 21000101107201 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20193294753025 + 806806354176 = 4493695^2 + 898224^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000101107201 - 2¹ = 21000101107199 is a prime.

Together with 21000101107199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21000101107291) 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, 10500050553600 + 10500050553601.

It is an arithmetic number, because the mean of its divisors is an integer number (10500050553601).

Almost surely, 2^{21000101107201} is an apocalyptic number.

It is an amenable number.

21000101107201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000101107201 is an equidigital number, since it uses as much as digits as its factorization.

21000101107201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 21000101107201 its reverse (10270110100012), we get a palindrome (31270211207213).

The spelling of 21000101107201 in words is "twenty-one trillion, one hundred one million, one hundred seven thousand, two hundred one".