22010011100101 has 2 divisors, whose sum is σ = 22010011100102. Its totient is φ = 22010011100100.

The previous prime is 22010011100057. The next prime is 22010011100183. The reversal of 22010011100101 is 10100111001022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14498190907201 + 7511820192900 = 3807649^2 + 2740770^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010011100101 - 2¹⁵ = 22010011067333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22010011107101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005005550050 + 11005005550051.

It is an arithmetic number, because the mean of its divisors is an integer number (11005005550051).

Almost surely, 2^{22010011100101} is an apocalyptic number.

It is an amenable number.

22010011100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22010011100101 is an equidigital number, since it uses as much as digits as its factorization.

22010011100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22010011100101 its reverse (10100111001022), we get a palindrome (32110122101123).

The spelling of 22010011100101 in words is "twenty-two trillion, ten billion, eleven million, one hundred thousand, one hundred one".