100000101110011 has 16 divisors (see below), whose sum is σ = 100777210122240. Its totient is φ = 99226840410720.

The previous prime is 100000101109973. The next prime is 100000101110033. The reversal of 100000101110011 is 110011101000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100000101110011 - 2¹³ = 100000101101819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000101109976 and 100000101110003.

It is not an unprimeable number, because it can be changed into a prime (100000101110111) 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 15 ways as a sum of consecutive naturals, for example, 63842826 + ... + 65390416.

It is an arithmetic number, because the mean of its divisors is an integer number (6298575632640).

Almost surely, 2^{100000101110011} is an apocalyptic number.

100000101110011 is a deficient number, since it is larger than the sum of its proper divisors (777109012229).

100000101110011 is a wasteful number, since it uses less digits than its factorization.

100000101110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548834.

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

Adding to 100000101110011 its reverse (110011101000001), we get a palindrome (210011202110012).

The spelling of 100000101110011 in words is "one hundred trillion, one hundred one million, one hundred ten thousand, eleven".