2221123002233 has 16 divisors (see below), whose sum is σ = 2374835274000. Its totient is φ = 2070063630336.

The previous prime is 2221123002211. The next prime is 2221123002247. The reversal of 2221123002233 is 3322003211222.

It can be written as a sum of positive squares in 8 ways, for example, as 900768031744 + 1320354970489 = 949088^2 + 1149067^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221123002233 - 2¹⁴ = 2221122985849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221123002199 and 2221123002208.

It is not an unprimeable number, because it can be changed into a prime (2221123002253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638108 + ... + 2202141.

It is an arithmetic number, because the mean of its divisors is an integer number (148427204625).

Almost surely, 2^{2221123002233} is an apocalyptic number.

It is an amenable number.

2221123002233 is a deficient number, since it is larger than the sum of its proper divisors (153712271767).

2221123002233 is a wasteful number, since it uses less digits than its factorization.

2221123002233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840716.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2221123002233 its reverse (3322003211222), we get a palindrome (5543126213455).

The spelling of 2221123002233 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-three million, two thousand, two hundred thirty-three".