110022211021993 has 2 divisors, whose sum is σ = 110022211021994. Its totient is φ = 110022211021992.

The previous prime is 110022211021981. The next prime is 110022211022027. The reversal of 110022211021993 is 399120112220011.

It is a happy number.

It is an a-pointer prime, because the next prime (110022211022027) can be obtained adding 110022211021993 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81067189927824 + 28955021094169 = 9003732^2 + 5380987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110022211021993 is a prime.

It is not a weakly prime, because it can be changed into another prime (110022211021963) 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, 55011105510996 + 55011105510997.

It is an arithmetic number, because the mean of its divisors is an integer number (55011105510997).

Almost surely, 2^{110022211021993} is an apocalyptic number.

It is an amenable number.

110022211021993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110022211021993 is an equidigital number, since it uses as much as digits as its factorization.

110022211021993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 110022211021993 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven million, twenty-one thousand, nine hundred ninety-three".