10120221211321 has 16 divisors (see below), whose sum is σ = 11022005610000. Its totient is φ = 9236068098048.

The previous prime is 10120221211297. The next prime is 10120221211339. The reversal of 10120221211321 is 12311212202101.

It can be written as a sum of positive squares in 8 ways, for example, as 1788852750400 + 8331368460921 = 1337480^2 + 2886411^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120221211321 - 2⁹ = 10120221210809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120221211721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14998995 + ... + 15659191.

It is an arithmetic number, because the mean of its divisors is an integer number (688875350625).

Almost surely, 2^{10120221211321} is an apocalyptic number.

It is an amenable number.

10120221211321 is a deficient number, since it is larger than the sum of its proper divisors (901784398679).

10120221211321 is a wasteful number, since it uses less digits than its factorization.

10120221211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673548.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10120221211321 its reverse (12311212202101), we get a palindrome (22431433413422).

The spelling of 10120221211321 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, three hundred twenty-one".