10201301032221 has 24 divisors (see below), whose sum is σ = 15887294038616. Its totient is φ = 6270364068480.

The previous prime is 10201301032207. The next prime is 10201301032231. The reversal of 10201301032221 is 12223010310201.

10201301032221 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 301 + 0 + 322 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 651587984100 + 9549713048121 = 807210^2 + 3090261^2 .

It is not a de Polignac number, because 10201301032221 - 2⁵ = 10201301032189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201301032194 and 10201301032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201301032231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51008410 + ... + 51208011.

Almost surely, 2^{10201301032221} is an apocalyptic number.

It is an amenable number.

10201301032221 is a deficient number, since it is larger than the sum of its proper divisors (5685993006395).

10201301032221 is a wasteful number, since it uses less digits than its factorization.

10201301032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102217293 (or 102217290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10201301032221 its reverse (12223010310201), we get a palindrome (22424311342422).

The spelling of 10201301032221 in words is "ten trillion, two hundred one billion, three hundred one million, thirty-two thousand, two hundred twenty-one".