1020100200137 has 2 divisors, whose sum is σ = 1020100200138. Its totient is φ = 1020100200136.

The previous prime is 1020100200113. The next prime is 1020100200143. The reversal of 1020100200137 is 7310020010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966487576201 + 53612623936 = 983101^2 + 231544^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020100200137 - 2¹⁸ = 1020099937993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020100200337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050100068 + 510050100069.

It is an arithmetic number, because the mean of its divisors is an integer number (510050100069).

Almost surely, 2^{1020100200137} is an apocalyptic number.

It is an amenable number.

1020100200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100200137 is an equidigital number, since it uses as much as digits as its factorization.

1020100200137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 1020100200137 its reverse (7310020010201), we get a palindrome (8330120210338).

The spelling of 1020100200137 in words is "one trillion, twenty billion, one hundred million, two hundred thousand, one hundred thirty-seven".