22001221100113 has 2 divisors, whose sum is σ = 22001221100114. Its totient is φ = 22001221100112.

The previous prime is 22001221100099. The next prime is 22001221100129. The reversal of 22001221100113 is 31100112210022.

It is an a-pointer prime, because the next prime (22001221100129) can be obtained adding 22001221100113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15581114133264 + 6420106966849 = 3947292^2 + 2533793^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22001221100113 is a prime.

It is a super-2 number, since 2×22001221100113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22001221100813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000610550056 + 11000610550057.

It is an arithmetic number, because the mean of its divisors is an integer number (11000610550057).

Almost surely, 2^{22001221100113} is an apocalyptic number.

It is an amenable number.

22001221100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001221100113 is an equidigital number, since it uses as much as digits as its factorization.

22001221100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22001221100113 its reverse (31100112210022), we get a palindrome (53101333310135).

The spelling of 22001221100113 in words is "twenty-two trillion, one billion, two hundred twenty-one million, one hundred thousand, one hundred thirteen".