22121121100181 has 2 divisors, whose sum is σ = 22121121100182. Its totient is φ = 22121121100180.

The previous prime is 22121121100093. The next prime is 22121121100201. The reversal of 22121121100181 is 18100112112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20767470293956 + 1353650806225 = 4557134^2 + 1163465^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121121100181 - 2¹⁴ = 22121121083797 is a prime.

It is a super-2 number, since 2×22121121100181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121121130181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060560550090 + 11060560550091.

It is an arithmetic number, because the mean of its divisors is an integer number (11060560550091).

Almost surely, 2^{22121121100181} is an apocalyptic number.

It is an amenable number.

22121121100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121121100181 is an equidigital number, since it uses as much as digits as its factorization.

22121121100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 22121121100181 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, one hundred eighty-one".