10021106052217 has 8 divisors (see below), whose sum is σ = 11426781562056. Its totient is φ = 8706119284992.

The previous prime is 10021106052179. The next prime is 10021106052227. The reversal of 10021106052217 is 71225060112001.

It can be written as a sum of positive squares in 4 ways, for example, as 189520044921 + 9831586007296 = 435339^2 + 3135536^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10021106052217 - 2¹¹ = 10021106050169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021106052227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22672185418 + ... + 22672185859.

It is an arithmetic number, because the mean of its divisors is an integer number (1428347695257).

Almost surely, 2^{10021106052217} is an apocalyptic number.

10021106052217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10021106052217 is a deficient number, since it is larger than the sum of its proper divisors (1405675509839).

10021106052217 is a wasteful number, since it uses less digits than its factorization.

10021106052217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45344371307.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 10021106052217 its reverse (71225060112001), we get a palindrome (81246166164218).

The spelling of 10021106052217 in words is "ten trillion, twenty-one billion, one hundred six million, fifty-two thousand, two hundred seventeen".