100111211221011 has 32 divisors (see below), whose sum is σ = 139639122504000. Its totient is φ = 63713909833728.

The previous prime is 100111211220997. The next prime is 100111211221013. The reversal of 100111211221011 is 110122112111001.

It is not a de Polignac number, because 100111211221011 - 2⁶ = 100111211220947 is a prime.

It is a super-2 number, since 2×100111211221011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111211221013) 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, 415159785 + ... + 415400853.

It is an arithmetic number, because the mean of its divisors is an integer number (4363722578250).

Almost surely, 2^{100111211221011} is an apocalyptic number.

100111211221011 is a deficient number, since it is larger than the sum of its proper divisors (39527911282989).

100111211221011 is a wasteful number, since it uses less digits than its factorization.

100111211221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294823.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100111211221011 its reverse (110122112111001), we get a palindrome (210233323332012).

The spelling of 100111211221011 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, eleven".