100110011022011 has 2 divisors, whose sum is σ = 100110011022012. Its totient is φ = 100110011022010.

The previous prime is 100110011022001. The next prime is 100110011022037. The reversal of 100110011022011 is 110220110011001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110011022011 - 2³⁴ = 100092831152827 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110011021983 and 100110011022001.

It is not a weakly prime, because it can be changed into another prime (100110011022001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005511005 + 50055005511006.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005511006).

Almost surely, 2^{100110011022011} is an apocalyptic number.

100110011022011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011022011 is an equidigital number, since it uses as much as digits as its factorization.

100110011022011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110011022011 its reverse (110220110011001), we get a palindrome (210330121033012).

The spelling of 100110011022011 in words is "one hundred trillion, one hundred ten billion, eleven million, twenty-two thousand, eleven".