222121201009993 has 2 divisors, whose sum is σ = 222121201009994. Its totient is φ = 222121201009992.

The previous prime is 222121201009957. The next prime is 222121201010003. The reversal of 222121201009993 is 399900102121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182859547818249 + 39261653191744 = 13522557^2 + 6265912^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121201009993 - 2²⁹ = 222120664139081 is a prime.

It is not a weakly prime, because it can be changed into another prime (222121201009193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060600504996 + 111060600504997.

It is an arithmetic number, because the mean of its divisors is an integer number (111060600504997).

Almost surely, 2^{222121201009993} is an apocalyptic number.

It is an amenable number.

222121201009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121201009993 is an equidigital number, since it uses as much as digits as its factorization.

222121201009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 222121201009993 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, nine thousand, nine hundred ninety-three".