2001022000181 has 2 divisors, whose sum is σ = 2001022000182. Its totient is φ = 2001022000180.

The previous prime is 2001022000069. The next prime is 2001022000207. The reversal of 2001022000181 is 1810002201002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1969040400625 + 31981599556 = 1403225^2 + 178834^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001022000181 - 2¹⁴ = 2001021983797 is a prime.

It is a super-2 number, since 2×2001022000181² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001022030181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000511000090 + 1000511000091.

It is an arithmetic number, because the mean of its divisors is an integer number (1000511000091).

Almost surely, 2^{2001022000181} is an apocalyptic number.

It is an amenable number.

2001022000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001022000181 is an equidigital number, since it uses as much as digits as its factorization.

2001022000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2001022000181 its reverse (1810002201002), we get a palindrome (3811024201183).

The spelling of 2001022000181 in words is "two trillion, one billion, twenty-two million, one hundred eighty-one", and thus it is an aban number.