100010022220201 has 8 divisors (see below), whose sum is σ = 103459442675400. Its totient is φ = 96560655031680.

The previous prime is 100010022220183. The next prime is 100010022220217. The reversal of 100010022220201 is 102022220010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15632937730201 + 84377084490000 = 3953851^2 + 9185700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010022220201 - 2²³ = 100010013831593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010022220291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9478086 + ... + 17025103.

It is an arithmetic number, because the mean of its divisors is an integer number (12932430334425).

Almost surely, 2^{100010022220201} is an apocalyptic number.

It is an amenable number.

100010022220201 is a deficient number, since it is larger than the sum of its proper divisors (3449420455199).

100010022220201 is a wasteful number, since it uses less digits than its factorization.

100010022220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26633339.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100010022220201 its reverse (102022220010001), we get a palindrome (202032242230202).

The spelling of 100010022220201 in words is "one hundred trillion, ten billion, twenty-two million, two hundred twenty thousand, two hundred one".