202221010122001 has 16 divisors (see below), whose sum is σ = 225317329166160. Its totient is φ = 180203746222080.

The previous prime is 202221010121989. The next prime is 202221010122011. The reversal of 202221010122001 is 100221010122202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4721581326400 + 197499428795601 = 2172920^2 + 14053449^2 .

It is not a de Polignac number, because 202221010122001 - 2⁷ = 202221010121873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202221010122011) 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, 34574160 + ... + 39997681.

It is an arithmetic number, because the mean of its divisors is an integer number (14082333072885).

Almost surely, 2^{202221010122001} is an apocalyptic number.

It is an amenable number.

202221010122001 is a deficient number, since it is larger than the sum of its proper divisors (23096319044159).

202221010122001 is a wasteful number, since it uses less digits than its factorization.

202221010122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74579076.

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

Adding to 202221010122001 its reverse (100221010122202), we get a palindrome (302442020244203).

The spelling of 202221010122001 in words is "two hundred two trillion, two hundred twenty-one billion, ten million, one hundred twenty-two thousand, one".