10120202112221 has 8 divisors (see below), whose sum is σ = 10122764228280. Its totient is φ = 10117640212992.

The previous prime is 10120202112211. The next prime is 10120202112239. The reversal of 10120202112221 is 12221120202101.

It can be written as a sum of positive squares in 4 ways, for example, as 13436287225 + 10106765824996 = 115915^2 + 3179114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120202112221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120202112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120202112211) 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, 131815781 + ... + 131892533.

It is an arithmetic number, because the mean of its divisors is an integer number (1265345528535).

Almost surely, 2^{10120202112221} is an apocalyptic number.

It is an amenable number.

10120202112221 is a deficient number, since it is larger than the sum of its proper divisors (2562116059).

10120202112221 is an equidigital number, since it uses as much as digits as its factorization.

10120202112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108415.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10120202112221 its reverse (12221120202101), we get a palindrome (22341322314322).

The spelling of 10120202112221 in words is "ten trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand, two hundred twenty-one".