100001120221101 has 16 divisors (see below), whose sum is σ = 145457255139840. Its totient is φ = 60606289414320.

The previous prime is 100001120221033. The next prime is 100001120221133. The reversal of 100001120221101 is 101122021100001.

It is not a de Polignac number, because 100001120221101 - 2¹¹ = 100001120219053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001120221181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714831 + ... + 15655388.

It is an arithmetic number, because the mean of its divisors is an integer number (9091078446240).

Almost surely, 2^{100001120221101} is an apocalyptic number.

100001120221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001120221101 is a deficient number, since it is larger than the sum of its proper divisors (45456134918739).

100001120221101 is a wasteful number, since it uses less digits than its factorization.

100001120221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22505696.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100001120221101 its reverse (101122021100001), we get a palindrome (201123141321102).

The spelling of 100001120221101 in words is "one hundred trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred one".