2122131112033 has 8 divisors (see below), whose sum is σ = 2163516879168. Its totient is φ = 2080795180464.

The previous prime is 2122131111979. The next prime is 2122131112091. The reversal of 2122131112033 is 3302111312212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122131112033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122131111995 and 2122131112013.

It is not an unprimeable number, because it can be changed into a prime (2122131112333) 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 in 7 ways as a sum of consecutive naturals, for example, 12372891 + ... + 12543232.

It is an arithmetic number, because the mean of its divisors is an integer number (270439609896).

Almost surely, 2^{2122131112033} is an apocalyptic number.

It is an amenable number.

2122131112033 is a deficient number, since it is larger than the sum of its proper divisors (41385767135).

2122131112033 is a wasteful number, since it uses less digits than its factorization.

2122131112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24917783.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2122131112033 its reverse (3302111312212), we get a palindrome (5424242424245).

The spelling of 2122131112033 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred twelve thousand, thirty-three".