10036863946201 has 9 divisors (see below), whose sum is σ = 10080866897661. Its totient is φ = 9993052277472.

The previous prime is 10036863946157. The next prime is 10036863946229. The reversal of 10036863946201 is 10264936863001.

It is a happy number.

The square root of 10036863946201 is 3168101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5154266630601 + 4882597315600 = 2270301^2 + 2209660^2 .

It is not a de Polignac number, because 10036863946201 - 2¹⁷ = 10036863815129 is a prime.

It is a super-3 number, since 3×10036863946201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10036863946271) 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 8 ways as a sum of consecutive naturals, for example, 738160735 + ... + 738174331.

Almost surely, 2^{10036863946201} is an apocalyptic number.

10036863946201 is the 3168101-st square number.

10036863946201 is the 1584051-st centered octagonal number.

It is an amenable number.

10036863946201 is a deficient number, since it is larger than the sum of its proper divisors (44002951460).

10036863946201 is an frugal number, since it uses more digits than its factorization.

10036863946201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27660 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 10036863946201 by its sum of digits (49), we get a square (491806333363849 = 22176707²).

The spelling of 10036863946201 in words is "ten trillion, thirty-six billion, eight hundred sixty-three million, nine hundred forty-six thousand, two hundred one".