221010122101 has 2 divisors, whose sum is σ = 221010122102. Its totient is φ = 221010122100.

The previous prime is 221010122077. The next prime is 221010122117. The reversal of 221010122101 is 101221010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166313074225 + 54697047876 = 407815^2 + 233874^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010122101 - 2⁹ = 221010121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221010102101) 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, 110505061050 + 110505061051.

It is an arithmetic number, because the mean of its divisors is an integer number (110505061051).

Almost surely, 2^221010122101 is an apocalyptic number.

It is an amenable number.

221010122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010122101 is an equidigital number, since it uses as much as digits as its factorization.

221010122101 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 13.

Adding to 221010122101 its reverse (101221010122), we get a palindrome (322231132223).

It can be divided in two parts, 221010122 and 101, that multiplied together give a palindrome (22322022322).

The spelling of 221010122101 in words is "two hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred one".