10002000112301 has 2 divisors, whose sum is σ = 10002000112302. Its totient is φ = 10002000112300.

The previous prime is 10002000112297. The next prime is 10002000112319. The reversal of 10002000112301 is 10321100020001.

10002000112301 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., 9815657670025 + 186342442276 = 3132995^2 + 431674^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002000112301 - 2² = 10002000112297 is a prime.

It is a super-3 number, since 3×10002000112301³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002000112381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000056150 + 5001000056151.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000056151).

Almost surely, 2^{10002000112301} is an apocalyptic number.

It is an amenable number.

10002000112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000112301 is an equidigital number, since it uses as much as digits as its factorization.

10002000112301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10002000112301 its reverse (10321100020001), we get a palindrome (20323100132302).

The spelling of 10002000112301 in words is "ten trillion, two billion, one hundred twelve thousand, three hundred one".