1010001100993 has 2 divisors, whose sum is σ = 1010001100994. Its totient is φ = 1010001100992.

The previous prime is 1010001100967. The next prime is 1010001101003. The reversal of 1010001100993 is 3990011000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008463833729 + 1537267264 = 1004223^2 + 39208^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001100993 - 2²⁵ = 1009967546561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010001100393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000550496 + 505000550497.

It is an arithmetic number, because the mean of its divisors is an integer number (505000550497).

Almost surely, 2^{1010001100993} is an apocalyptic number.

It is an amenable number.

1010001100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001100993 is an equidigital number, since it uses as much as digits as its factorization.

1010001100993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 25.

The spelling of 1010001100993 in words is "one trillion, ten billion, one million, one hundred thousand, nine hundred ninety-three".