2102223123333 has 80 divisors (see below), whose sum is σ = 3225231032320. Its totient is φ = 1364142124800.

The previous prime is 2102223123313. The next prime is 2102223123353. The reversal of 2102223123333 is 3333213222012.

2102223123333 is a `hidden beast` number, since 2 + 10 + 2 + 2 + 2 + 312 + 3 + 333 = 666.

It is an interprime number because it is at equal distance from previous prime (2102223123313) and next prime (2102223123353).

It is not a de Polignac number, because 2102223123333 - 2⁶ = 2102223123269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102223123297 and 2102223123306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102223123313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256646268 + ... + 256654458.

It is an arithmetic number, because the mean of its divisors is an integer number (40315387904).

Almost surely, 2^{2102223123333} is an apocalyptic number.

It is an amenable number.

2102223123333 is a deficient number, since it is larger than the sum of its proper divisors (1123007908987).

2102223123333 is a wasteful number, since it uses less digits than its factorization.

2102223123333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2102223123333 its reverse (3333213222012), we get a palindrome (5435436345345).

The spelling of 2102223123333 in words is "two trillion, one hundred two billion, two hundred twenty-three million, one hundred twenty-three thousand, three hundred thirty-three".