22123333332101 has 2 divisors, whose sum is σ = 22123333332102. Its totient is φ = 22123333332100.

The previous prime is 22123333332077. The next prime is 22123333332143. The reversal of 22123333332101 is 10123333332122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15979126812100 + 6144206520001 = 3997390^2 + 2478751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22123333332101 is a prime.

It is a super-2 number, since 2×22123333332101² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22123333332181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061666666050 + 11061666666051.

It is an arithmetic number, because the mean of its divisors is an integer number (11061666666051).

Almost surely, 2^{22123333332101} is an apocalyptic number.

It is an amenable number.

22123333332101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123333332101 is an equidigital number, since it uses as much as digits as its factorization.

22123333332101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 22123333332101 its reverse (10123333332122), we get a palindrome (32246666664223).

The spelling of 22123333332101 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-two thousand, one hundred one".