100110110120211 has 16 divisors (see below), whose sum is σ = 134830905874848. Its totient is φ = 66064979904000.

The previous prime is 100110110120179. The next prime is 100110110120261. The reversal of 100110110120211 is 112021011011001.

It is not a de Polignac number, because 100110110120211 - 2⁵ = 100110110120179 is a prime.

It is a super-3 number, since 3×100110110120211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100110110120261) 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, 34349286 + ... + 37149611.

It is an arithmetic number, because the mean of its divisors is an integer number (8426931617178).

Almost surely, 2^{100110110120211} is an apocalyptic number.

100110110120211 is a deficient number, since it is larger than the sum of its proper divisors (34720795754637).

100110110120211 is a wasteful number, since it uses less digits than its factorization.

100110110120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71503622.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110110120211 its reverse (112021011011001), we get a palindrome (212131121131212).

The spelling of 100110110120211 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred twenty thousand, two hundred eleven".