10201123133001 has 24 divisors (see below), whose sum is σ = 14790438673920. Its totient is φ = 6775143617376.

The previous prime is 10201123132987. The next prime is 10201123133017. The reversal of 10201123133001 is 10033132110201.

10201123133001 is a `hidden beast` number, since 10 + 201 + 123 + 1 + 330 + 0 + 1 = 666.

It is not a de Polignac number, because 10201123133001 - 2¹⁰ = 10201123131977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201123133081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57393070 + ... + 57570536.

It is an arithmetic number, because the mean of its divisors is an integer number (616268278080).

Almost surely, 2^{10201123133001} is an apocalyptic number.

It is an amenable number.

10201123133001 is a deficient number, since it is larger than the sum of its proper divisors (4589315540919).

10201123133001 is a wasteful number, since it uses less digits than its factorization.

10201123133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201485 (or 201482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10201123133001 its reverse (10033132110201), we get a palindrome (20234255243202).

The spelling of 10201123133001 in words is "ten trillion, two hundred one billion, one hundred twenty-three million, one hundred thirty-three thousand, one".