100000110211001 has 64 divisors (see below), whose sum is σ = 137131894480896. Its totient is φ = 70392994963200.

The previous prime is 100000110210929. The next prime is 100000110211069. The reversal of 100000110211001 is 100112011000001.

It is a happy number.

It is not a de Polignac number, because 100000110211001 - 2¹⁴ = 100000110194617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000110211001.

It is not an unprimeable number, because it can be changed into a prime (100000110211901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785291906 + ... + 785419236.

It is an arithmetic number, because the mean of its divisors is an integer number (2142685851264).

Almost surely, 2^{100000110211001} is an apocalyptic number.

100000110211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000110211001 is a deficient number, since it is larger than the sum of its proper divisors (37131784269895).

100000110211001 is a wasteful number, since it uses less digits than its factorization.

100000110211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144102.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100000110211001 its reverse (100112011000001), we get a palindrome (200112121211002).

The spelling of 100000110211001 in words is "one hundred trillion, one hundred ten million, two hundred eleven thousand, one".