1001100100093 has 2 divisors, whose sum is σ = 1001100100094. Its totient is φ = 1001100100092.

The previous prime is 1001100100081. The next prime is 1001100100097. The reversal of 1001100100093 is 3900010011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586567579129 + 414532520964 = 765877^2 + 643842^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100100093 - 2²⁹ = 1000563229181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001100100097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550050046 + 500550050047.

It is an arithmetic number, because the mean of its divisors is an integer number (500550050047).

Almost surely, 2^{1001100100093} is an apocalyptic number.

It is an amenable number.

1001100100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100100093 is an equidigital number, since it uses as much as digits as its factorization.

1001100100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1001100100093 its reverse (3900010011001), we get a palindrome (4901110111094).

The spelling of 1001100100093 in words is "one trillion, one billion, one hundred million, one hundred thousand, ninety-three".