10120221222201 has 6 divisors (see below), whose sum is σ = 14618097320970. Its totient is φ = 6746814148128.

The previous prime is 10120221222187. The next prime is 10120221222203. The reversal of 10120221222201 is 10222212202101.

It is a happy number.

10120221222201 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 221 + 222 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6718775043600 + 3401446178601 = 2592060^2 + 1844301^2 .

It is not a de Polignac number, because 10120221222201 - 2¹⁰ = 10120221221177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120221222203) 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 5 ways as a sum of consecutive naturals, for example, 562234512336 + ... + 562234512353.

It is an arithmetic number, because the mean of its divisors is an integer number (2436349553495).

Almost surely, 2^{10120221222201} is an apocalyptic number.

It is an amenable number.

10120221222201 is a deficient number, since it is larger than the sum of its proper divisors (4497876098769).

10120221222201 is a wasteful number, since it uses less digits than its factorization.

10120221222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124469024695 (or 1124469024692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10120221222201 its reverse (10222212202101), we get a palindrome (20342433424302).

The spelling of 10120221222201 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred one".