22101101111113 has 2 divisors, whose sum is σ = 22101101111114. Its totient is φ = 22101101111112.

The previous prime is 22101101111083. The next prime is 22101101111189. The reversal of 22101101111113 is 31111110110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21385195594569 + 715905516544 = 4624413^2 + 846112^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101101111113 - 2¹⁷ = 22101100980041 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101101117113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050550555556 + 11050550555557.

It is an arithmetic number, because the mean of its divisors is an integer number (11050550555557).

Almost surely, 2^{22101101111113} is an apocalyptic number.

It is an amenable number.

22101101111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101101111113 is an equidigital number, since it uses as much as digits as its factorization.

22101101111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 22101101111113 its reverse (31111110110122), we get a palindrome (53212211221235).

The spelling of 22101101111113 in words is "twenty-two trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred thirteen".