1010004420137 has 2 divisors, whose sum is σ = 1010004420138. Its totient is φ = 1010004420136.

The previous prime is 1010004420071. The next prime is 1010004420209. The reversal of 1010004420137 is 7310244000101.

It is a happy number.

1010004420137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007576295961 + 2428124176 = 1003781^2 + 49276^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010004420137 - 2¹⁰ = 1010004419113 is a prime.

It is a super-3 number, since 3×1010004420137³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1010004450137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505002210068 + 505002210069.

It is an arithmetic number, because the mean of its divisors is an integer number (505002210069).

Almost surely, 2^{1010004420137} is an apocalyptic number.

It is an amenable number.

1010004420137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010004420137 is an equidigital number, since it uses as much as digits as its factorization.

1010004420137 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010004420137 its reverse (7310244000101), we get a palindrome (8320248420238).

The spelling of 1010004420137 in words is "one trillion, ten billion, four million, four hundred twenty thousand, one hundred thirty-seven".