100221201401 has 2 divisors, whose sum is σ = 100221201402. Its totient is φ = 100221201400.

The previous prime is 100221201391. The next prime is 100221201433. The reversal of 100221201401 is 104102122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72711661801 + 27509539600 = 269651^2 + 165860^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221201401 - 2¹⁸ = 100220939257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221261401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110600700 + 50110600701.

It is an arithmetic number, because the mean of its divisors is an integer number (50110600701).

Almost surely, 2^100221201401 is an apocalyptic number.

It is an amenable number.

100221201401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221201401 is an equidigital number, since it uses as much as digits as its factorization.

100221201401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221201401 its reverse (104102122001), we get a palindrome (204323323402).

The spelling of 100221201401 in words is "one hundred billion, two hundred twenty-one million, two hundred one thousand, four hundred one".