2001012022021 has 2 divisors, whose sum is σ = 2001012022022. Its totient is φ = 2001012022020.

The previous prime is 2001012022013. The next prime is 2001012022049. The reversal of 2001012022021 is 1202202101002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1995760845796 + 5251176225 = 1412714^2 + 72465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001012022021 - 2³ = 2001012022013 is a prime.

It is a super-2 number, since 2×2001012022021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001012021992 and 2001012022010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001012022081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506011010 + 1000506011011.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506011011).

Almost surely, 2^{2001012022021} is an apocalyptic number.

It is an amenable number.

2001012022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001012022021 is an equidigital number, since it uses as much as digits as its factorization.

2001012022021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2001012022021 its reverse (1202202101002), we get a palindrome (3203214123023).

The spelling of 2001012022021 in words is "two trillion, one billion, twelve million, twenty-two thousand, twenty-one".