2021122100001 has 12 divisors (see below), whose sum is σ = 2721775160816. Its totient is φ = 1334073973200.

The previous prime is 2021122099967. The next prime is 2021122100003. The reversal of 2021122100001 is 1000012211202.

It is not a de Polignac number, because 2021122100001 - 2¹⁹ = 2021121575713 is a prime.

It is a super-2 number, since 2×2021122100001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2021122100001.

It is not an unprimeable number, because it can be changed into a prime (2021122100003) 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 11 ways as a sum of consecutive naturals, for example, 32991031 + ... + 33052236.

Almost surely, 2^{2021122100001} is an apocalyptic number.

It is an amenable number.

2021122100001 is a deficient number, since it is larger than the sum of its proper divisors (700653060815).

2021122100001 is an equidigital number, since it uses as much as digits as its factorization.

2021122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66043472 (or 66043371 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021122100001 its reverse (1000012211202), we get a palindrome (3021134311203).

The spelling of 2021122100001 in words is "two trillion, twenty-one billion, one hundred twenty-two million, one hundred thousand, one".