10220001000001 has 8 divisors (see below), whose sum is σ = 11063181635240. Its totient is φ = 9384967037952.

The previous prime is 10220000999909. The next prime is 10220001000017. The reversal of 10220001000001 is 10000010002201.

It can be written as a sum of positive squares in 4 ways, for example, as 780482135601 + 9439518864400 = 883449^2 + 3072380^2 .

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 10220001000001 - 2¹⁷ = 10220000868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220001000301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2036665686 + ... + 2036670703.

It is an arithmetic number, because the mean of its divisors is an integer number (1382897704405).

Almost surely, 2^{10220001000001} is an apocalyptic number.

It is an amenable number.

10220001000001 is a deficient number, since it is larger than the sum of its proper divisors (843180635239).

10220001000001 is a wasteful number, since it uses less digits than its factorization.

10220001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073336595.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10220001000001 its reverse (10000010002201), we get a palindrome (20220011002202).

The spelling of 10220001000001 in words is "ten trillion, two hundred twenty billion, one million, one", and thus it is an aban number.