2001112211233 has 2 divisors, whose sum is σ = 2001112211234. Its totient is φ = 2001112211232.

The previous prime is 2001112211123. The next prime is 2001112211299. The reversal of 2001112211233 is 3321122111002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1953196314624 + 47915896609 = 1397568^2 + 218897^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001112211233 - 2²⁹ = 2000575340321 is a prime.

It is a super-2 number, since 2×2001112211233² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001112211233.

It is not a weakly prime, because it can be changed into another prime (2001112211333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000556105616 + 1000556105617.

It is an arithmetic number, because the mean of its divisors is an integer number (1000556105617).

Almost surely, 2^{2001112211233} is an apocalyptic number.

It is an amenable number.

2001112211233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001112211233 is an equidigital number, since it uses as much as digits as its factorization.

2001112211233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2001112211233 its reverse (3321122111002), we get a palindrome (5322234322235).

The spelling of 2001112211233 in words is "two trillion, one billion, one hundred twelve million, two hundred eleven thousand, two hundred thirty-three".