100110211112211 has 16 divisors (see below), whose sum is σ = 137883887185920. Its totient is φ = 64541393832960.

The previous prime is 100110211112201. The next prime is 100110211112251. The reversal of 100110211112211 is 112211112011001.

It is not a de Polignac number, because 100110211112211 - 2¹⁵ = 100110211079443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110211112201) 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 15 ways as a sum of consecutive naturals, for example, 381861115 + ... + 382123188.

It is an arithmetic number, because the mean of its divisors is an integer number (8617742949120).

Almost surely, 2^{100110211112211} is an apocalyptic number.

100110211112211 is a deficient number, since it is larger than the sum of its proper divisors (37773676073709).

100110211112211 is a wasteful number, since it uses less digits than its factorization.

100110211112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763985746.

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

Adding to 100110211112211 its reverse (112211112011001), we get a palindrome (212321323123212).

The spelling of 100110211112211 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, one hundred twelve thousand, two hundred eleven".