10201920200137 has 2 divisors, whose sum is σ = 10201920200138. Its totient is φ = 10201920200136.

The previous prime is 10201920200077. The next prime is 10201920200177. The reversal of 10201920200137 is 73100202910201.

10201920200137 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., 8450945516601 + 1750974683536 = 2907051^2 + 1323244^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201920200137 is a prime.

It is a super-2 number, since 2×10201920200137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201920200177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100960100068 + 5100960100069.

It is an arithmetic number, because the mean of its divisors is an integer number (5100960100069).

Almost surely, 2^{10201920200137} is an apocalyptic number.

It is an amenable number.

10201920200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201920200137 is an equidigital number, since it uses as much as digits as its factorization.

10201920200137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 10201920200137 in words is "ten trillion, two hundred one billion, nine hundred twenty million, two hundred thousand, one hundred thirty-seven".