100006201221017 has 16 divisors (see below), whose sum is σ = 126086617679232. Its totient is φ = 77195888369280.

The previous prime is 100006201221007. The next prime is 100006201221083. The reversal of 100006201221017 is 710122102600001.

It is a cyclic number.

It is not a de Polignac number, because 100006201221017 - 2¹² = 100006201216921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100006201220983 and 100006201221001.

It is not an unprimeable number, because it can be changed into a prime (100006201221007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13402060223 + ... + 13402067684.

It is an arithmetic number, because the mean of its divisors is an integer number (7880413604952).

Almost surely, 2^{100006201221017} is an apocalyptic number.

It is an amenable number.

100006201221017 is a deficient number, since it is larger than the sum of its proper divisors (26080416458215).

100006201221017 is a wasteful number, since it uses less digits than its factorization.

100006201221017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804127968.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100006201221017 its reverse (710122102600001), we get a palindrome (810128303821018).

The spelling of 100006201221017 in words is "one hundred trillion, six billion, two hundred one million, two hundred twenty-one thousand, seventeen".