22311121210181 has 2 divisors, whose sum is σ = 22311121210182. Its totient is φ = 22311121210180.

The previous prime is 22311121210171. The next prime is 22311121210211. The reversal of 22311121210181 is 18101212111322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22232488637956 + 78632572225 = 4715134^2 + 280415^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311121210181 - 2¹⁸ = 22311120948037 is a prime.

It is a super-3 number, since 3×22311121210181³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22311121210181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311121210171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155560605090 + 11155560605091.

It is an arithmetic number, because the mean of its divisors is an integer number (11155560605091).

Almost surely, 2^{22311121210181} is an apocalyptic number.

It is an amenable number.

22311121210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311121210181 is an equidigital number, since it uses as much as digits as its factorization.

22311121210181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 26.

The spelling of 22311121210181 in words is "twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, one hundred eighty-one".