20202121101137 has 2 divisors, whose sum is σ = 20202121101138. Its totient is φ = 20202121101136.

The previous prime is 20202121101121. The next prime is 20202121101161. The reversal of 20202121101137 is 73110112120202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15203323932736 + 4998797168401 = 3899144^2 + 2235799^2 .

It is a cyclic number.

It is not a de Polignac number, because 20202121101137 - 2⁴ = 20202121101121 is a prime.

It is not a weakly prime, because it can be changed into another prime (20202121101187) 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 as a sum of consecutive naturals, namely, 10101060550568 + 10101060550569.

It is an arithmetic number, because the mean of its divisors is an integer number (10101060550569).

Almost surely, 2^{20202121101137} is an apocalyptic number.

It is an amenable number.

20202121101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20202121101137 is an equidigital number, since it uses as much as digits as its factorization.

20202121101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 20202121101137 its reverse (73110112120202), we get a palindrome (93312233221339).

The spelling of 20202121101137 in words is "twenty trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred thirty-seven".