100110020000011 has 32 divisors (see below), whose sum is σ = 123771037409280. Its totient is φ = 79016513312256.

The previous prime is 100110019999987. The next prime is 100110020000069. The reversal of 100110020000011 is 110000020011001.

It is a cyclic number.

It is not a de Polignac number, because 100110020000011 - 2⁷ = 100110019999883 is a prime.

It is a super-2 number, since 2×100110020000011² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110019999949 and 100110020000003.

It is not an unprimeable number, because it can be changed into a prime (100110020001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19842811 + ... + 24371236.

It is an arithmetic number, because the mean of its divisors is an integer number (3867844919040).

Almost surely, 2^{100110020000011} is an apocalyptic number.

100110020000011 is a deficient number, since it is larger than the sum of its proper divisors (23661017409269).

100110020000011 is a wasteful number, since it uses less digits than its factorization.

100110020000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44214483.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100110020000011 its reverse (110000020011001), we get a palindrome (210110040011012).

The spelling of 100110020000011 in words is "one hundred trillion, one hundred ten billion, twenty million, eleven", and thus it is an aban number.