100010000211011 has 16 divisors (see below), whose sum is σ = 115520888613888. Its totient is φ = 85569078710400.

The previous prime is 100010000210993. The next prime is 100010000211013. The reversal of 100010000211011 is 110112000010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010000211011 - 2³⁸ = 99735122304067 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100010000211011.

It is not an unprimeable number, because it can be changed into a prime (100010000211013) 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, 13654106 + ... + 19658448.

It is an arithmetic number, because the mean of its divisors is an integer number (7220055538368).

Almost surely, 2^{100010000211011} is an apocalyptic number.

100010000211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010000211011 is a deficient number, since it is larger than the sum of its proper divisors (15510888402877).

100010000211011 is a wasteful number, since it uses less digits than its factorization.

100010000211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093442.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010000211011 its reverse (110112000010001), we get a palindrome (210122000221012).

The spelling of 100010000211011 in words is "one hundred trillion, ten billion, two hundred eleven thousand, eleven".