221202002102101 has 2 divisors, whose sum is σ = 221202002102102. Its totient is φ = 221202002102100.

The previous prime is 221202002102083. The next prime is 221202002102167. The reversal of 221202002102101 is 101201200202122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155667294288900 + 65534707813201 = 12476670^2 + 8095351^2 .

It is a cyclic number.

It is not a de Polignac number, because 221202002102101 - 2¹⁵ = 221202002069333 is a prime.

It is a super-2 number, since 2×221202002102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221202002102401) 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, 110601001051050 + 110601001051051.

It is an arithmetic number, because the mean of its divisors is an integer number (110601001051051).

Almost surely, 2^{221202002102101} is an apocalyptic number.

It is an amenable number.

221202002102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221202002102101 is an equidigital number, since it uses as much as digits as its factorization.

221202002102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221202002102101 its reverse (101201200202122), we get a palindrome (322403202304223).

The spelling of 221202002102101 in words is "two hundred twenty-one trillion, two hundred two billion, two million, one hundred two thousand, one hundred one".