202122133011 has 24 divisors (see below), whose sum is σ = 293471899344. Its totient is φ = 134048194560.

The previous prime is 202122132983. The next prime is 202122133013. The reversal of 202122133011 is 110331221202.

202122133011 is a `hidden beast` number, since 202 + 122 + 1 + 330 + 11 = 666.

It is not a de Polignac number, because 202122133011 - 2¹⁴ = 202122116627 is a prime.

It is a super-2 number, since 2×202122133011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202122133013) 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, 4338835 + ... + 4385171.

It is an arithmetic number, because the mean of its divisors is an integer number (12227995806).

Almost surely, 2^202122133011 is an apocalyptic number.

202122133011 is a deficient number, since it is larger than the sum of its proper divisors (91349766333).

202122133011 is a wasteful number, since it uses less digits than its factorization.

202122133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48851 (or 48848 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202122133011 its reverse (110331221202), we get a palindrome (312453354213).

The spelling of 202122133011 in words is "two hundred two billion, one hundred twenty-two million, one hundred thirty-three thousand, eleven".