1020111109993 has 2 divisors, whose sum is σ = 1020111109994. Its totient is φ = 1020111109992.

The previous prime is 1020111109991. The next prime is 1020111110003. The reversal of 1020111109993 is 3999011110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 996089829849 + 24021280144 = 998043^2 + 154988^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020111109993 - 2¹ = 1020111109991 is a prime.

Together with 1020111109991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1020111109991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510055554996 + 510055554997.

It is an arithmetic number, because the mean of its divisors is an integer number (510055554997).

Almost surely, 2^{1020111109993} is an apocalyptic number.

It is an amenable number.

1020111109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020111109993 is an equidigital number, since it uses as much as digits as its factorization.

1020111109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 1020111109993 in words is "one trillion, twenty billion, one hundred eleven million, one hundred nine thousand, nine hundred ninety-three".