100111100110211 has 16 divisors (see below), whose sum is σ = 101957827749120. Its totient is φ = 98274936508320.

The previous prime is 100111100110193. The next prime is 100111100110253. The reversal of 100111100110211 is 112011001111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111100110211 - 2²² = 100111095915907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111100110192 and 100111100110201.

It is not an unprimeable number, because it can be changed into a prime (100111100310211) 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, 67035080 + ... + 68512218.

It is an arithmetic number, because the mean of its divisors is an integer number (6372364234320).

Almost surely, 2^{100111100110211} is an apocalyptic number.

100111100110211 is a deficient number, since it is larger than the sum of its proper divisors (1846727638909).

100111100110211 is a wasteful number, since it uses less digits than its factorization.

100111100110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480714.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111100110211 its reverse (112011001111001), we get a palindrome (212122101221212).

The spelling of 100111100110211 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, two hundred eleven".