10220200200137 has 2 divisors, whose sum is σ = 10220200200138. Its totient is φ = 10220200200136.

The previous prime is 10220200200107. The next prime is 10220200200163. The reversal of 10220200200137 is 73100200202201.

10220200200137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9303085609216 + 917114590921 = 3050096^2 + 957661^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220200200137 - 2¹⁶ = 10220200134601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220200200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110100100068 + 5110100100069.

It is an arithmetic number, because the mean of its divisors is an integer number (5110100100069).

Almost surely, 2^{10220200200137} is an apocalyptic number.

It is an amenable number.

10220200200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220200200137 is an equidigital number, since it uses as much as digits as its factorization.

10220200200137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 10220200200137 its reverse (73100200202201), we get a palindrome (83320400402338).

The spelling of 10220200200137 in words is "ten trillion, two hundred twenty billion, two hundred million, two hundred thousand, one hundred thirty-seven".