100222122021001 has 2 divisors, whose sum is σ = 100222122021002. Its totient is φ = 100222122021000.

The previous prime is 100222122020989. The next prime is 100222122021029. The reversal of 100222122021001 is 100120221222001.

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., 72651756960000 + 27570365061001 = 8523600^2 + 5250749^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222122021001 - 2⁷ = 100222122020873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222122021101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111061010500 + 50111061010501.

It is an arithmetic number, because the mean of its divisors is an integer number (50111061010501).

Almost surely, 2^{100222122021001} is an apocalyptic number.

It is an amenable number.

100222122021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222122021001 is an equidigital number, since it uses as much as digits as its factorization.

100222122021001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100222122021001 its reverse (100120221222001), we get a palindrome (200342343243002).

The spelling of 100222122021001 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one".