10220110214301 has 24 divisors (see below), whose sum is σ = 15899684016216. Its totient is φ = 6288612301440.

The previous prime is 10220110214263. The next prime is 10220110214333. The reversal of 10220110214301 is 10341201102201.

10220110214301 is a `hidden beast` number, since 1 + 0 + 2 + 201 + 10 + 21 + 430 + 1 = 666.

10220110214301 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 534638816100 + 9685471398201 = 731190^2 + 3112149^2 .

It is not a de Polignac number, because 10220110214301 - 2¹⁰ = 10220110213277 is a prime.

It is a super-3 number, since 3×10220110214301³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220110214101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3688090 + ... + 5834571.

It is an arithmetic number, because the mean of its divisors is an integer number (662486834009).

Almost surely, 2^{10220110214301} is an apocalyptic number.

It is an amenable number.

10220110214301 is a deficient number, since it is larger than the sum of its proper divisors (5679573801915).

10220110214301 is a wasteful number, since it uses less digits than its factorization.

10220110214301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531853 (or 9531850 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220110214301 its reverse (10341201102201), we get a palindrome (20561311316502).

The spelling of 10220110214301 in words is "ten trillion, two hundred twenty billion, one hundred ten million, two hundred fourteen thousand, three hundred one".