2001022100003 has 2 divisors, whose sum is σ = 2001022100004. Its totient is φ = 2001022100002.

The previous prime is 2001022099957. The next prime is 2001022100047. The reversal of 2001022100003 is 3000012201002.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2001022100003 - 2¹² = 2001022095907 is a prime.

It is a super-2 number, since 2×2001022100003² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001022106003) 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 as a sum of consecutive naturals, namely, 1000511050001 + 1000511050002.

It is an arithmetic number, because the mean of its divisors is an integer number (1000511050002).

Almost surely, 2^{2001022100003} is an apocalyptic number.

2001022100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001022100003 is an equidigital number, since it uses as much as digits as its factorization.

2001022100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2001022100003 its reverse (3000012201002), we get a palindrome (5001034301005).

The spelling of 2001022100003 in words is "two trillion, one billion, twenty-two million, one hundred thousand, three".