100221121122001 has 6 divisors (see below), whose sum is σ = 110160405861506. Its totient is φ = 91110110110800.

The previous prime is 100221121121929. The next prime is 100221121122049.

100221121122001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 74726498513601 + 25494622608400 = 8644449^2 + 5049220^2 .

It is not a de Polignac number, because 100221121122001 - 2¹¹ = 100221121119953 is a prime.

It is a super-2 number, since 2×100221121122001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221121102001) 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 5 ways as a sum of consecutive naturals, for example, 414136864020 + ... + 414136864261.

Almost surely, 2^{100221121122001} is an apocalyptic number.

100221121122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221121122001 is a deficient number, since it is larger than the sum of its proper divisors (9939284739505).

100221121122001 is an equidigital number, since it uses as much as digits as its factorization.

100221121122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828273728303 (or 828273728292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 100221121122001 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one".