100012120111993 has 2 divisors, whose sum is σ = 100012120111994. Its totient is φ = 100012120111992.

The previous prime is 100012120111979. The next prime is 100012120112029. The reversal of 100012120111993 is 399111021210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51424919027689 + 48587201084304 = 7171117^2 + 6970452^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012120111993 - 2⁴¹ = 97813096856441 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012120111913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006060055996 + 50006060055997.

It is an arithmetic number, because the mean of its divisors is an integer number (50006060055997).

Almost surely, 2^{100012120111993} is an apocalyptic number.

It is an amenable number.

100012120111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012120111993 is an equidigital number, since it uses as much as digits as its factorization.

100012120111993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 31.

Adding to 100012120111993 its reverse (399111021210001), we get a palindrome (499123141321994).

The spelling of 100012120111993 in words is "one hundred trillion, twelve billion, one hundred twenty million, one hundred eleven thousand, nine hundred ninety-three".