100011120221001 has 16 divisors (see below), whose sum is σ = 145659889045440. Its totient is φ = 60533979832320.

The previous prime is 100011120220967. The next prime is 100011120221011. The reversal of 100011120221001 is 100122021110001.

It is not a de Polignac number, because 100011120221001 - 2⁹ = 100011120220489 is a prime.

It is a super-2 number, since 2×100011120221001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100011120221011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970481780 + ... + 1970532533.

It is an arithmetic number, because the mean of its divisors is an integer number (9103743065340).

Almost surely, 2^{100011120221001} is an apocalyptic number.

100011120221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011120221001 is a deficient number, since it is larger than the sum of its proper divisors (45648768824439).

100011120221001 is a wasteful number, since it uses less digits than its factorization.

100011120221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941015096.

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

Adding to 100011120221001 its reverse (100122021110001), we get a palindrome (200133141331002).

The spelling of 100011120221001 in words is "one hundred trillion, eleven billion, one hundred twenty million, two hundred twenty-one thousand, one".