100022100110201 has 8 divisors (see below), whose sum is σ = 100062656946504. Its totient is φ = 99981546347520.

The previous prime is 100022100110171. The next prime is 100022100110311. The reversal of 100022100110201 is 102011001220001.

It can be written as a sum of positive squares in 4 ways, for example, as 59670372115600 + 40351727994601 = 7724660^2 + 6352301^2 .

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 100022100110201 - 2²² = 100022095915897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022100118201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65484935 + ... + 66994931.

It is an arithmetic number, because the mean of its divisors is an integer number (12507832118313).

Almost surely, 2^{100022100110201} is an apocalyptic number.

It is an amenable number.

100022100110201 is a deficient number, since it is larger than the sum of its proper divisors (40556836303).

100022100110201 is a wasteful number, since it uses less digits than its factorization.

100022100110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536811.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100022100110201 its reverse (102011001220001), we get a palindrome (202033101330202).

The spelling of 100022100110201 in words is "one hundred trillion, twenty-two billion, one hundred million, one hundred ten thousand, two hundred one".