1020101101993 has 2 divisors, whose sum is σ = 1020101101994. Its totient is φ = 1020101101992.

The previous prime is 1020101101973. The next prime is 1020101102017. The reversal of 1020101101993 is 3991011010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1011295719424 + 8805382569 = 1005632^2 + 93837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020101101993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020101101973) 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, 510050550996 + 510050550997.

It is an arithmetic number, because the mean of its divisors is an integer number (510050550997).

Almost surely, 2^{1020101101993} is an apocalyptic number.

It is an amenable number.

1020101101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101101993 is an equidigital number, since it uses as much as digits as its factorization.

1020101101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 1020101101993 in words is "one trillion, twenty billion, one hundred one million, one hundred one thousand, nine hundred ninety-three".