10220364463201 has 8 divisors (see below), whose sum is σ = 10592889529640. Its totient is φ = 9852907765248.

The previous prime is 10220364463139. The next prime is 10220364463241. The reversal of 10220364463201 is 10236446302201.

10220364463201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1585141432576 + 8635223030625 = 1259024^2 + 2938575^2 .

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 10220364463201 - 2¹³ = 10220364455009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220364463241) 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, 1267088016 + ... + 1267096081.

It is an arithmetic number, because the mean of its divisors is an integer number (1324111191205).

Almost surely, 2^{10220364463201} is an apocalyptic number.

It is an amenable number.

10220364463201 is a deficient number, since it is larger than the sum of its proper divisors (372525066439).

10220364463201 is a wasteful number, since it uses less digits than its factorization.

10220364463201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534184243.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10220364463201 in words is "ten trillion, two hundred twenty billion, three hundred sixty-four million, four hundred sixty-three thousand, two hundred one".