100222012221001 has 16 divisors (see below), whose sum is σ = 109357365253248. Its totient is φ = 91090704902400.

The previous prime is 100222012220971. The next prime is 100222012221011. The reversal of 100222012221001 is 100122210222001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100222012221001 - 2¹⁷ = 100222012089929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222012221011) 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, 1125779871 + ... + 1125868891.

It is an arithmetic number, because the mean of its divisors is an integer number (6834835328328).

Almost surely, 2^{100222012221001} is an apocalyptic number.

100222012221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222012221001 is a deficient number, since it is larger than the sum of its proper divisors (9135353032247).

100222012221001 is a wasteful number, since it uses less digits than its factorization.

100222012221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110592.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222012221001 its reverse (100122210222001), we get a palindrome (200344222443002).

The spelling of 100222012221001 in words is "one hundred trillion, two hundred twenty-two billion, twelve million, two hundred twenty-one thousand, one".