100011011100997 has 2 divisors, whose sum is σ = 100011011100998. Its totient is φ = 100011011100996.

The previous prime is 100011011100943. The next prime is 100011011101007. The reversal of 100011011100997 is 799001110110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74766908129796 + 25244102971201 = 8646786^2 + 5024351^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011011100997 - 2³⁵ = 99976651362629 is a prime.

It is a super-2 number, since 2×100011011100997² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011011170997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505550498 + 50005505550499.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505550499).

Almost surely, 2^{100011011100997} is an apocalyptic number.

It is an amenable number.

100011011100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011011100997 is an equidigital number, since it uses as much as digits as its factorization.

100011011100997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 31.

Adding to 100011011100997 its reverse (799001110110001), we get a palindrome (899012121210998).

The spelling of 100011011100997 in words is "one hundred trillion, eleven billion, eleven million, one hundred thousand, nine hundred ninety-seven".