100010010101011 has 16 divisors (see below), whose sum is σ = 100407437222400. Its totient is φ = 99613632309408.

The previous prime is 100010010100943. The next prime is 100010010101017. The reversal of 100010010101011 is 110101010010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010010101011 - 2¹¹ = 100010010098963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010010100985 and 100010010101003.

It is not an unprimeable number, because it can be changed into a prime (100010010101017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435736600 + ... + 435966058.

It is an arithmetic number, because the mean of its divisors is an integer number (6275464826400).

Almost surely, 2^{100010010101011} is an apocalyptic number.

100010010101011 is a deficient number, since it is larger than the sum of its proper divisors (397427121389).

100010010101011 is an equidigital number, since it uses as much as digits as its factorization.

100010010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231738.

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

Adding to 100010010101011 its reverse (110101010010001), we get a palindrome (210111020111012).

The spelling of 100010010101011 in words is "one hundred trillion, ten billion, ten million, one hundred one thousand, eleven".