10120110221993 has 2 divisors, whose sum is σ = 10120110221994. Its totient is φ = 10120110221992.

The previous prime is 10120110221929. The next prime is 10120110222037. The reversal of 10120110221993 is 39912201102101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7379986191769 + 2740124030224 = 2716613^2 + 1655332^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120110221993 - 2⁶ = 10120110221929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120110221293) 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, 5060055110996 + 5060055110997.

It is an arithmetic number, because the mean of its divisors is an integer number (5060055110997).

Almost surely, 2^{10120110221993} is an apocalyptic number.

It is an amenable number.

10120110221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120110221993 is an equidigital number, since it uses as much as digits as its factorization.

10120110221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 10120110221993 in words is "ten trillion, one hundred twenty billion, one hundred ten million, two hundred twenty-one thousand, nine hundred ninety-three".