100101010100011 has 2 divisors, whose sum is σ = 100101010100012. Its totient is φ = 100101010100010.

The previous prime is 100101010099997. The next prime is 100101010100041. The reversal of 100101010100011 is 110001010101001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100101010100011 - 2³⁷ = 99963571146539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101010099967 and 100101010100003.

It is not a weakly prime, because it can be changed into another prime (100101010100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505050005 + 50050505050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505050006).

Almost surely, 2^{100101010100011} is an apocalyptic number.

100101010100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010100011 is an equidigital number, since it uses as much as digits as its factorization.

100101010100011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101010100011 its reverse (110001010101001), we get a palindrome (210102020201012).

The spelling of 100101010100011 in words is "one hundred trillion, one hundred one billion, ten million, one hundred thousand, eleven".