10110220012001 has 8 divisors (see below), whose sum is σ = 10148775613800. Its totient is φ = 10071679206528.

The previous prime is 10110220011979. The next prime is 10110220012069. The reversal of 10110220012001 is 10021002201101.

It can be written as a sum of positive squares in 4 ways, for example, as 108491184400 + 10001728827601 = 329380^2 + 3162551^2 .

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 10110220012001 - 2¹⁸ = 10110219749857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110220012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2328926 + ... + 5064023.

It is an arithmetic number, because the mean of its divisors is an integer number (1268596951725).

Almost surely, 2^{10110220012001} is an apocalyptic number.

It is an amenable number.

10110220012001 is a deficient number, since it is larger than the sum of its proper divisors (38555601799).

10110220012001 is an equidigital number, since it uses as much as digits as its factorization.

10110220012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398163.

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

Adding to 10110220012001 its reverse (10021002201101), we get a palindrome (20131222213102).

The spelling of 10110220012001 in words is "ten trillion, one hundred ten billion, two hundred twenty million, twelve thousand, one".