20000122001001 has 6 divisors (see below), whose sum is σ = 28889065112570. Its totient is φ = 13333414667328.

The previous prime is 20000122000897. The next prime is 20000122001137. The reversal of 20000122001001 is 10010022100002.

It can be written as a sum of positive squares in only one way, i.e., 15612961352976 + 4387160648025 = 3951324^2 + 2094555^2 .

It is not a de Polignac number, because 20000122001001 - 2¹⁷ = 20000121869929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2222235777889 = 20000122001001 / (2 + 0 + 0 + 0 + 0 + 1 + 2 + 2 + 0 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20000122006001) 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 5 ways as a sum of consecutive naturals, for example, 1111117888936 + ... + 1111117888953.

Almost surely, 2^{20000122001001} is an apocalyptic number.

It is an amenable number.

20000122001001 is a deficient number, since it is larger than the sum of its proper divisors (8888943111569).

20000122001001 is a wasteful number, since it uses less digits than its factorization.

20000122001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222235777895 (or 2222235777892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20000122001001 its reverse (10010022100002), we get a palindrome (30010144101003).

Subtracting from 20000122001001 its reverse (10010022100002), we obtain a palindrome (9990099900999).

The spelling of 20000122001001 in words is "twenty trillion, one hundred twenty-two million, one thousand, one".