1011201020993 has 2 divisors, whose sum is σ = 1011201020994. Its totient is φ = 1011201020992.

The previous prime is 1011201020903. The next prime is 1011201021001. The reversal of 1011201020993 is 3990201021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 883286067889 + 127914953104 = 939833^2 + 357652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011201020993 - 2⁸ = 1011201020737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011201020903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505600510496 + 505600510497.

It is an arithmetic number, because the mean of its divisors is an integer number (505600510497).

Almost surely, 2^{1011201020993} is an apocalyptic number.

It is an amenable number.

1011201020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011201020993 is an equidigital number, since it uses as much as digits as its factorization.

1011201020993 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 29.

The spelling of 1011201020993 in words is "one trillion, eleven billion, two hundred one million, twenty thousand, nine hundred ninety-three".