22122021102001 has 8 divisors (see below), whose sum is σ = 22341163213800. Its totient is φ = 21902881190400.

The previous prime is 22122021101941. The next prime is 22122021102061. The reversal of 22122021102001 is 10020112022122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22122021101941) and next prime (22122021102061).

It can be written as a sum of positive squares in 4 ways, for example, as 10194833914225 + 11927187187776 = 3192935^2 + 3453576^2 .

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 22122021102001 - 2²¹ = 22122019004849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22122021102061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25950535 + ... + 26789443.

It is an arithmetic number, because the mean of its divisors is an integer number (2792645401725).

Almost surely, 2^{22122021102001} is an apocalyptic number.

It is an amenable number.

22122021102001 is a deficient number, since it is larger than the sum of its proper divisors (219142111799).

22122021102001 is a wasteful number, since it uses less digits than its factorization.

22122021102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100099.

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

Adding to 22122021102001 its reverse (10020112022122), we get a palindrome (32142133124123).

The spelling of 22122021102001 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-one million, one hundred two thousand, one".