10001220010001 has 32 divisors (see below), whose sum is σ = 10981291516416. Its totient is φ = 9033190848000.

The previous prime is 10001220009943. The next prime is 10001220010043. The reversal of 10001220010001 is 10001002210001.

It is not a de Polignac number, because 10001220010001 - 2¹⁰ = 10001220008977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001220016001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709621566 + ... + 2709625256.

It is an arithmetic number, because the mean of its divisors is an integer number (343165359888).

Almost surely, 2^{10001220010001} is an apocalyptic number.

10001220010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001220010001 is a deficient number, since it is larger than the sum of its proper divisors (980071506415).

10001220010001 is a wasteful number, since it uses less digits than its factorization.

10001220010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413.

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

Adding to 10001220010001 its reverse (10001002210001), we get a palindrome (20002222220002).

The spelling of 10001220010001 in words is "ten trillion, one billion, two hundred twenty million, ten thousand, one".