10021122020137 has 2 divisors, whose sum is σ = 10021122020138. Its totient is φ = 10021122020136.

The previous prime is 10021122020101. The next prime is 10021122020149. The reversal of 10021122020137 is 73102022112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8065009290816 + 1956112729321 = 2839896^2 + 1398611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021122020137 - 2¹⁹ = 10021121495849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021122020167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010561010068 + 5010561010069.

It is an arithmetic number, because the mean of its divisors is an integer number (5010561010069).

Almost surely, 2^{10021122020137} is an apocalyptic number.

It is an amenable number.

10021122020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021122020137 is an equidigital number, since it uses as much as digits as its factorization.

10021122020137 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 22.

Adding to 10021122020137 its reverse (73102022112001), we get a palindrome (83123144132138).

The spelling of 10021122020137 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, twenty thousand, one hundred thirty-seven".