10120003312321 has 16 divisors (see below), whose sum is σ = 11850212158848. Its totient is φ = 8461003824000.

The previous prime is 10120003312273. The next prime is 10120003312337. The reversal of 10120003312321 is 12321330002101.

It is not a de Polignac number, because 10120003312321 - 2⁷ = 10120003312193 is a prime.

It is a super-2 number, since 2×10120003312321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120003312121) 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 15 ways as a sum of consecutive naturals, for example, 2158255 + ... + 4989796.

It is an arithmetic number, because the mean of its divisors is an integer number (740638259928).

Almost surely, 2^{10120003312321} is an apocalyptic number.

It is an amenable number.

10120003312321 is a deficient number, since it is larger than the sum of its proper divisors (1730208846527).

10120003312321 is an equidigital number, since it uses as much as digits as its factorization.

10120003312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153032.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10120003312321 its reverse (12321330002101), we get a palindrome (22441333314422).

The spelling of 10120003312321 in words is "ten trillion, one hundred twenty billion, three million, three hundred twelve thousand, three hundred twenty-one".