100011021211011 has 8 divisors (see below), whose sum is σ = 133348151183040. Its totient is φ = 66673952689832.

The previous prime is 100011021211007. The next prime is 100011021211033. The reversal of 100011021211011 is 110112120110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011021211011 - 2² = 100011021211007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011021211001) 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 7 ways as a sum of consecutive naturals, for example, 11420721 + ... + 18178418.

It is an arithmetic number, because the mean of its divisors is an integer number (16668518897880).

Almost surely, 2^{100011021211011} is an apocalyptic number.

100011021211011 is a deficient number, since it is larger than the sum of its proper divisors (33337129972029).

100011021211011 is a wasteful number, since it uses less digits than its factorization.

100011021211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30725425.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100011021211011 its reverse (110112120110001), we get a palindrome (210123141321012).

It can be divided in two parts, 1000 and 11021211011, that added together give a palindrome (11021212011).

The spelling of 100011021211011 in words is "one hundred trillion, eleven billion, twenty-one million, two hundred eleven thousand, eleven".