10000001000601 has 12 divisors (see below), whose sum is σ = 14446274171940. Its totient is φ = 6665823511200.

The previous prime is 10000001000599. The next prime is 10000001000681. The reversal of 10000001000601 is 10600010000001.

It can be written as a sum of positive squares in 2 ways, for example, as 5559810305625 + 4440190694976 = 2357925^2 + 2107176^2 .

It is not a de Polignac number, because 10000001000601 - 2¹ = 10000001000599 is a prime.

It is a super-2 number, since 2×10000001000601² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000001000681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70243486 + ... + 70385703.

It is an arithmetic number, because the mean of its divisors is an integer number (1203856180995).

Almost surely, 2^{10000001000601} is an apocalyptic number.

It is an amenable number.

10000001000601 is a deficient number, since it is larger than the sum of its proper divisors (4446273171339).

10000001000601 is a wasteful number, since it uses less digits than its factorization.

10000001000601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140637096 (or 140637093 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10000001000601 its reverse (10600010000001), we get a palindrome (20600011000602).

The spelling of 10000001000601 in words is "ten trillion, one million, six hundred one", and thus it is an aban number.