20021021122201 has 6 divisors (see below), whose sum is σ = 22006576936106. Its totient is φ = 18200928292800.

The previous prime is 20021021122171. The next prime is 20021021122231. The reversal of 20021021122201 is 10222112012002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20021021122171) and next prime (20021021122231).

It can be written as a sum of positive squares in only one way, i.e., 18445745112201 + 1575276010000 = 4294851^2 + 1255100^2 .

It is not a de Polignac number, because 20021021122201 - 2¹⁷ = 20021020991129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20021021122231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82731492120 + ... + 82731492361.

Almost surely, 2^{20021021122201} is an apocalyptic number.

It is an amenable number.

20021021122201 is a deficient number, since it is larger than the sum of its proper divisors (1985555813905).

20021021122201 is a wasteful number, since it uses less digits than its factorization.

20021021122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165462984503 (or 165462984492 counting only the distinct ones).

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

Adding to 20021021122201 its reverse (10222112012002), we get a palindrome (30243133134203).

The spelling of 20021021122201 in words is "twenty trillion, twenty-one billion, twenty-one million, one hundred twenty-two thousand, two hundred one".