10010120202221 has 8 divisors (see below), whose sum is σ = 10147365812664. Its totient is φ = 9872877853440.

The previous prime is 10010120202161. The next prime is 10010120202223. The reversal of 10010120202221 is 12220202101001.

It can be written as a sum of positive squares in 4 ways, for example, as 970392457225 + 9039727744996 = 985085^2 + 3006614^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10010120202221 - 2¹⁰ = 10010120201197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010120202196 and 10010120202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010120202223) 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 7 ways as a sum of consecutive naturals, for example, 5721491 + ... + 7263311.

It is an arithmetic number, because the mean of its divisors is an integer number (1268420726583).

Almost surely, 2^{10010120202221} is an apocalyptic number.

It is an amenable number.

10010120202221 is a deficient number, since it is larger than the sum of its proper divisors (137245610443).

10010120202221 is an equidigital number, since it uses as much as digits as its factorization.

10010120202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630831.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010120202221 its reverse (12220202101001), we get a palindrome (22230322303222).

The spelling of 10010120202221 in words is "ten trillion, ten billion, one hundred twenty million, two hundred two thousand, two hundred twenty-one".