100011000221011 has 16 divisors (see below), whose sum is σ = 109292164289280. Its totient is φ = 90761488024480.

The previous prime is 100011000220969. The next prime is 100011000221021. The reversal of 100011000221011 is 110122000110001.

It is a cyclic number.

It is not a de Polignac number, because 100011000221011 - 2⁷ = 100011000220883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011000221021) 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, 15563700 + ... + 21029758.

It is an arithmetic number, because the mean of its divisors is an integer number (6830760268080).

Almost surely, 2^{100011000221011} is an apocalyptic number.

100011000221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011000221011 is a deficient number, since it is larger than the sum of its proper divisors (9281164068269).

100011000221011 is a wasteful number, since it uses less digits than its factorization.

100011000221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468954.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011000221011 its reverse (110122000110001), we get a palindrome (210133000331012).

The spelling of 100011000221011 in words is "one hundred trillion, eleven billion, two hundred twenty-one thousand, eleven".