1010314210401 has 12 divisors (see below), whose sum is σ = 1459351863060. Its totient is φ = 673538600160.

The previous prime is 1010314210319. The next prime is 1010314210439. The reversal of 1010314210401 is 1040124130101.

1010314210401 is a `hidden beast` number, since 10 + 10 + 31 + 4 + 210 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48494646225 + 961819564176 = 220215^2 + 980724^2 .

It is not a de Polignac number, because 1010314210401 - 2¹⁸ = 1010313948257 is a prime.

It is a super-3 number, since 3×1010314210401³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010314210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999935 + ... + 2453643.

It is an arithmetic number, because the mean of its divisors is an integer number (121612655255).

Almost surely, 2^{1010314210401} is an apocalyptic number.

It is an amenable number.

1010314210401 is a deficient number, since it is larger than the sum of its proper divisors (449037652659).

1010314210401 is a wasteful number, since it uses less digits than its factorization.

1010314210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701136 (or 701133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010314210401 its reverse (1040124130101), we get a palindrome (2050438340502).

The spelling of 1010314210401 in words is "one trillion, ten billion, three hundred fourteen million, two hundred ten thousand, four hundred one".