100100011681 has 2 divisors, whose sum is σ = 100100011682. Its totient is φ = 100100011680.

The previous prime is 100100011667. The next prime is 100100011757. The reversal of 100100011681 is 186110001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91859911056 + 8240100625 = 303084^2 + 90775^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011681 - 2⁹ = 100100011169 is a prime.

It is a super-2 number, since 2×100100011681² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100011601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005840 + 50050005841.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005841).

Almost surely, 2^100100011681 is an apocalyptic number.

It is an amenable number.

100100011681 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011681 is an equidigital number, since it uses as much as digits as its factorization.

100100011681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 100100011681 its reverse (186110001001), we get a palindrome (286210012682).

The spelling of 100100011681 in words is "one hundred billion, one hundred million, eleven thousand, six hundred eighty-one".