100110211201091 has 16 divisors (see below), whose sum is σ = 126077976186624. Its totient is φ = 77366030835744.

The previous prime is 100110211201027. The next prime is 100110211201171. The reversal of 100110211201091 is 190102112011001.

It is not a de Polignac number, because 100110211201091 - 2⁶ = 100110211201027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110211201591) 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, 12791998541 + ... + 12792006366.

It is an arithmetic number, because the mean of its divisors is an integer number (7879873511664).

Almost surely, 2^{100110211201091} is an apocalyptic number.

100110211201091 is a deficient number, since it is larger than the sum of its proper divisors (25967764985533).

100110211201091 is a wasteful number, since it uses less digits than its factorization.

100110211201091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25584004970.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 100110211201091 its reverse (190102112011001), we get a palindrome (290212323212092).

The spelling of 100110211201091 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, ninety-one".