100220100010001 has 8 divisors (see below), whose sum is σ = 100254238895400. Its totient is φ = 100185962785920.

The previous prime is 100220100009901. The next prime is 100220100010031. The reversal of 100220100010001 is 100010001022001.

It can be written as a sum of positive squares in 4 ways, for example, as 17300408709376 + 82919691300625 = 4159376^2 + 9106025^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220100010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220100010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126874895 + ... + 127662363.

It is an arithmetic number, because the mean of its divisors is an integer number (12531779861925).

Almost surely, 2^{100220100010001} is an apocalyptic number.

It is an amenable number.

100220100010001 is a deficient number, since it is larger than the sum of its proper divisors (34138885399).

100220100010001 is an equidigital number, since it uses as much as digits as its factorization.

100220100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830659.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100220100010001 its reverse (100010001022001), we get a palindrome (200230101032002).

The spelling of 100220100010001 in words is "one hundred trillion, two hundred twenty billion, one hundred million, ten thousand, one".