21200122133137 has 2 divisors, whose sum is σ = 21200122133138. Its totient is φ = 21200122133136.

The previous prime is 21200122133119. The next prime is 21200122133159. The reversal of 21200122133137 is 73133122100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13607474146561 + 7592647986576 = 3688831^2 + 2755476^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200122133137 - 2¹⁵ = 21200122100369 is a prime.

It is not a weakly prime, because it can be changed into another prime (21200122133107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600061066568 + 10600061066569.

It is an arithmetic number, because the mean of its divisors is an integer number (10600061066569).

Almost surely, 2^{21200122133137} is an apocalyptic number.

It is an amenable number.

21200122133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200122133137 is an equidigital number, since it uses as much as digits as its factorization.

21200122133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 21200122133137 its reverse (73133122100212), we get a palindrome (94333244233349).

The spelling of 21200122133137 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-seven".