221101102110101 has 2 divisors, whose sum is σ = 221101102110102. Its totient is φ = 221101102110100.

The previous prime is 221101102110071. The next prime is 221101102110127. The reversal of 221101102110101 is 101011201101122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185952223144900 + 35148878965201 = 13636430^2 + 5928649^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101102110101 - 2³⁴ = 221083922240917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221101102110131) 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, 110550551055050 + 110550551055051.

It is an arithmetic number, because the mean of its divisors is an integer number (110550551055051).

Almost surely, 2^{221101102110101} is an apocalyptic number.

It is an amenable number.

221101102110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101102110101 is an equidigital number, since it uses as much as digits as its factorization.

221101102110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 221101102110101 its reverse (101011201101122), we get a palindrome (322112303211223).

The spelling of 221101102110101 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred two million, one hundred ten thousand, one hundred one".