20102020122137 has 2 divisors, whose sum is σ = 20102020122138. Its totient is φ = 20102020122136.

The previous prime is 20102020122133. The next prime is 20102020122251. The reversal of 20102020122137 is 73122102020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19918181554441 + 183838567696 = 4462979^2 + 428764^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102020122137 - 2² = 20102020122133 is a prime.

It is not a weakly prime, because it can be changed into another prime (20102020122133) 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 as a sum of consecutive naturals, namely, 10051010061068 + 10051010061069.

It is an arithmetic number, because the mean of its divisors is an integer number (10051010061069).

Almost surely, 2^{20102020122137} is an apocalyptic number.

It is an amenable number.

20102020122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102020122137 is an equidigital number, since it uses as much as digits as its factorization.

20102020122137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 20102020122137 its reverse (73122102020102), we get a palindrome (93224122142239).

The spelling of 20102020122137 in words is "twenty trillion, one hundred two billion, twenty million, one hundred twenty-two thousand, one hundred thirty-seven".