221002212122101 has 2 divisors, whose sum is σ = 221002212122102. Its totient is φ = 221002212122100.

The previous prime is 221002212121973. The next prime is 221002212122119. The reversal of 221002212122101 is 101221212200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110603608080625 + 110398604041476 = 10516825^2 + 10507074^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002212122101 - 2⁷ = 221002212121973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221002212122201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501106061050 + 110501106061051.

It is an arithmetic number, because the mean of its divisors is an integer number (110501106061051).

Almost surely, 2^{221002212122101} is an apocalyptic number.

It is an amenable number.

221002212122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002212122101 is an equidigital number, since it uses as much as digits as its factorization.

221002212122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221002212122101 its reverse (101221212200122), we get a palindrome (322223424322223).

The spelling of 221002212122101 in words is "two hundred twenty-one trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".