100212100100191 has 16 divisors (see below), whose sum is σ = 102960881447904. Its totient is φ = 97465447908864.

The previous prime is 100212100100173. The next prime is 100212100100213. The reversal of 100212100100191 is 191001001212001.

It is a cyclic number.

It is not a de Polignac number, because 100212100100191 - 2¹⁵ = 100212100067423 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100100111) 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, 1604055331 + ... + 1604117803.

It is an arithmetic number, because the mean of its divisors is an integer number (6435055090494).

Almost surely, 2^{100212100100191} is an apocalyptic number.

100212100100191 is a deficient number, since it is larger than the sum of its proper divisors (2748781347713).

100212100100191 is a wasteful number, since it uses less digits than its factorization.

100212100100191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78810.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100212100100191 its reverse (191001001212001), we get a palindrome (291213101312192).

The spelling of 100212100100191 in words is "one hundred trillion, two hundred twelve billion, one hundred million, one hundred thousand, one hundred ninety-one".