221020122033 has 24 divisors (see below), whose sum is σ = 338153150088. Its totient is φ = 138629087232.

The previous prime is 221020122031. The next prime is 221020122053. The reversal of 221020122033 is 330221020122.

221020122033 is a `hidden beast` number, since 2 + 210 + 201 + 220 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 221019396129 = 852^2 + 470127^2 .

It is not a de Polignac number, because 221020122033 - 2¹ = 221020122031 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221020121997 and 221020122015.

It is not an unprimeable number, because it can be changed into a prime (221020122031) 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 23 ways as a sum of consecutive naturals, for example, 164785 + ... + 684977.

It is an arithmetic number, because the mean of its divisors is an integer number (14089714587).

Almost surely, 2^221020122033 is an apocalyptic number.

It is an amenable number.

221020122033 is a deficient number, since it is larger than the sum of its proper divisors (117133028055).

221020122033 is a wasteful number, since it uses less digits than its factorization.

221020122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522993 (or 522990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221020122033 its reverse (330221020122), we get a palindrome (551241142155).

The spelling of 221020122033 in words is "two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, thirty-three".