10120021220221 has 16 divisors (see below), whose sum is σ = 11339637583680. Its totient is φ = 8950394782080.

The previous prime is 10120021220117. The next prime is 10120021220227. The reversal of 10120021220221 is 12202212002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10120021220221 - 2²³ = 10120012831613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120021220195 and 10120021220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120021220227) 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 15 ways as a sum of consecutive naturals, for example, 2398030 + ... + 5098096.

It is an arithmetic number, because the mean of its divisors is an integer number (708727348980).

Almost surely, 2^{10120021220221} is an apocalyptic number.

10120021220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120021220221 is a deficient number, since it is larger than the sum of its proper divisors (1219616363459).

10120021220221 is a wasteful number, since it uses less digits than its factorization.

10120021220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709324.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120021220221 its reverse (12202212002101), we get a palindrome (22322233222322).

The spelling of 10120021220221 in words is "ten trillion, one hundred twenty billion, twenty-one million, two hundred twenty thousand, two hundred twenty-one".