100111211110211 has 16 divisors (see below), whose sum is σ = 118103935733760. Its totient is φ = 83041285393440.

The previous prime is 100111211110151. The next prime is 100111211110217. The reversal of 100111211110211 is 112011112111001.

It is a cyclic number.

It is not a de Polignac number, because 100111211110211 - 2¹⁸ = 100111210848067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111211110217) 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, 91435370 + ... + 92523776.

It is an arithmetic number, because the mean of its divisors is an integer number (7381495983360).

Almost surely, 2^{100111211110211} is an apocalyptic number.

100111211110211 is a deficient number, since it is larger than the sum of its proper divisors (17992724623549).

100111211110211 is a wasteful number, since it uses less digits than its factorization.

100111211110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512314.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100111211110211 its reverse (112011112111001), we get a palindrome (212122323221212).

The spelling of 100111211110211 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, one hundred ten thousand, two hundred eleven".