10201101506217 has 24 divisors (see below), whose sum is σ = 14870500444800. Its totient is φ = 6738164078688.

The previous prime is 10201101506147. The next prime is 10201101506231. The reversal of 10201101506217 is 71260510110201.

10201101506217 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 1 + 0 + 15 + 0 + 621 + 7 = 666.

It is not a de Polignac number, because 10201101506217 - 2⁸ = 10201101505961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201101506017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44288134 + ... + 44517872.

It is an arithmetic number, because the mean of its divisors is an integer number (619604185200).

Almost surely, 2^{10201101506217} is an apocalyptic number.

It is an amenable number.

10201101506217 is a deficient number, since it is larger than the sum of its proper divisors (4669398938583).

10201101506217 is a wasteful number, since it uses less digits than its factorization.

10201101506217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275117 (or 275114 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 10201101506217 its reverse (71260510110201), we get a palindrome (81461611616418).

The spelling of 10201101506217 in words is "ten trillion, two hundred one billion, one hundred one million, five hundred six thousand, two hundred seventeen".