221221012002101 has 2 divisors, whose sum is σ = 221221012002102. Its totient is φ = 221221012002100.

The previous prime is 221221012002083. The next prime is 221221012002103. The reversal of 221221012002101 is 101200210122122.

221221012002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135376599171025 + 85844412831076 = 11635145^2 + 9265226^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221012002101 - 2⁴⁶ = 150852267824437 is a prime.

Together with 221221012002103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221221012002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221012002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610506001050 + 110610506001051.

It is an arithmetic number, because the mean of its divisors is an integer number (110610506001051).

Almost surely, 2^{221221012002101} is an apocalyptic number.

It is an amenable number.

221221012002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221012002101 is an equidigital number, since it uses as much as digits as its factorization.

221221012002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221221012002101 its reverse (101200210122122), we get a palindrome (322421222124223).

The spelling of 221221012002101 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, twelve million, two thousand, one hundred one".