100112212102011 has 16 divisors (see below), whose sum is σ = 135672051313920. Its totient is φ = 65646937631520.

The previous prime is 100112212101961. The next prime is 100112212102051. The reversal of 100112212102011 is 110201212211001.

It is a happy number.

It is not a de Polignac number, because 100112212102011 - 2⁷ = 100112212101883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112212102051) 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, 28800250 + ... + 32088608.

It is an arithmetic number, because the mean of its divisors is an integer number (8479503207120).

Almost surely, 2^{100112212102011} is an apocalyptic number.

100112212102011 is a deficient number, since it is larger than the sum of its proper divisors (35559839211909).

100112212102011 is a wasteful number, since it uses less digits than its factorization.

100112212102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454786.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112212102011 its reverse (110201212211001), we get a palindrome (210313424313012).

The spelling of 100112212102011 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred two thousand, eleven".