100221001121201 has 16 divisors (see below), whose sum is σ = 104751034992384. Its totient is φ = 95791626532224.

The previous prime is 100221001121081. The next prime is 100221001121233. The reversal of 100221001121201 is 102121100122001.

It is a cyclic number.

It is not a de Polignac number, because 100221001121201 - 2²⁶ = 100220934012337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221001141201) 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, 8093621 + ... + 16307933.

It is an arithmetic number, because the mean of its divisors is an integer number (6546939687024).

Almost surely, 2^{100221001121201} is an apocalyptic number.

It is an amenable number.

100221001121201 is a deficient number, since it is larger than the sum of its proper divisors (4530033871183).

100221001121201 is an equidigital number, since it uses as much as digits as its factorization.

100221001121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220440.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221001121201 its reverse (102121100122001), we get a palindrome (202342101243202).

The spelling of 100221001121201 in words is "one hundred trillion, two hundred twenty-one billion, one million, one hundred twenty-one thousand, two hundred one".