10001220100001 has 16 divisors (see below), whose sum is σ = 11035352410320. Its totient is φ = 9005003642880.

The previous prime is 10001220099991. The next prime is 10001220100007. The reversal of 10001220100001 is 10000102210001.

It can be written as a sum of positive squares in 8 ways, for example, as 136422400 + 10001083677601 = 11680^2 + 3162449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001220100001 - 2³⁴ = 9984040230817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001220100007) 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 15 ways as a sum of consecutive naturals, for example, 996335 + ... + 4582043.

It is an arithmetic number, because the mean of its divisors is an integer number (689709525645).

Almost surely, 2^{10001220100001} is an apocalyptic number.

It is an amenable number.

10001220100001 is a deficient number, since it is larger than the sum of its proper divisors (1034132310319).

10001220100001 is a wasteful number, since it uses less digits than its factorization.

10001220100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590996.

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

Adding to 10001220100001 its reverse (10000102210001), we get a palindrome (20001322310002).

The spelling of 10001220100001 in words is "ten trillion, one billion, two hundred twenty million, one hundred thousand, one".