221022102201001 has 2 divisors, whose sum is σ = 221022102201002. Its totient is φ = 221022102201000.

The previous prime is 221022102200863. The next prime is 221022102201139. The reversal of 221022102201001 is 100102201220122.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (221022102200863) and next prime (221022102201139).

It can be written as a sum of positive squares in only one way, i.e., 216266436000000 + 4755666201001 = 14706000^2 + 2180749^2 .

It is a cyclic number.

It is not a de Polignac number, because 221022102201001 - 2¹⁷ = 221022102069929 is a prime.

It is a super-2 number, since 2×221022102201001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221022102205001) 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, 110511051100500 + 110511051100501.

It is an arithmetic number, because the mean of its divisors is an integer number (110511051100501).

Almost surely, 2^{221022102201001} is an apocalyptic number.

It is an amenable number.

221022102201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022102201001 is an equidigital number, since it uses as much as digits as its factorization.

221022102201001 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 221022102201001 its reverse (100102201220122), we get a palindrome (321124303421123).

The spelling of 221022102201001 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred one thousand, one".