2022002022101 has 24 divisors (see below), whose sum is σ = 2072733914664. Its totient is φ = 1972311897600.

The previous prime is 2022002022071. The next prime is 2022002022221. The reversal of 2022002022101 is 1012202002202.

It can be written as a sum of positive squares in 12 ways, for example, as 169640191876 + 1852361830225 = 411874^2 + 1361015^2 .

It is not a de Polignac number, because 2022002022101 - 2²² = 2021997827797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022002042101) 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 23 ways as a sum of consecutive naturals, for example, 665787755 + ... + 665790791.

It is an arithmetic number, because the mean of its divisors is an integer number (86363913111).

Almost surely, 2^{2022002022101} is an apocalyptic number.

It is an amenable number.

2022002022101 is a deficient number, since it is larger than the sum of its proper divisors (50731892563).

2022002022101 is a wasteful number, since it uses less digits than its factorization.

2022002022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022002022101 its reverse (1012202002202), we get a palindrome (3034204024303).

The spelling of 2022002022101 in words is "two trillion, twenty-two billion, two million, twenty-two thousand, one hundred one".