100001102110993 has 2 divisors, whose sum is σ = 100001102110994. Its totient is φ = 100001102110992.

The previous prime is 100001102110967. The next prime is 100001102111003. The reversal of 100001102110993 is 399011201100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70357084495569 + 29644017615424 = 8387913^2 + 5444632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001102110993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001102110933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000551055496 + 50000551055497.

It is an arithmetic number, because the mean of its divisors is an integer number (50000551055497).

Almost surely, 2^{100001102110993} is an apocalyptic number.

It is an amenable number.

100001102110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001102110993 is an equidigital number, since it uses as much as digits as its factorization.

100001102110993 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.

Adding to 100001102110993 its reverse (399011201100001), we get a palindrome (499012303210994).

The spelling of 100001102110993 in words is "one hundred trillion, one billion, one hundred two million, one hundred ten thousand, nine hundred ninety-three".