20022100122001 has 8 divisors (see below), whose sum is σ = 20629102937384. Its totient is φ = 19424089941120.

The previous prime is 20022100121993. The next prime is 20022100122047. The reversal of 20022100122001 is 10022100122002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1051545651601 + 18970554470400 = 1025449^2 + 4355520^2 .

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 20022100122001 - 2³ = 20022100121993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20022100182001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2248154106 + ... + 2248163011.

It is an arithmetic number, because the mean of its divisors is an integer number (2578637867173).

Almost surely, 2^{20022100122001} is an apocalyptic number.

It is an amenable number.

20022100122001 is a deficient number, since it is larger than the sum of its proper divisors (607002815383).

20022100122001 is an equidigital number, since it uses as much as digits as its factorization.

20022100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496317251.

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

Adding to 20022100122001 its reverse (10022100122002), we get a palindrome (30044200244003).

Subtracting from 20022100122001 its reverse (10022100122002), we obtain a palindrome (9999999999999).

The spelling of 20022100122001 in words is "twenty trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one".