10021120993 has 8 divisors (see below), whose sum is σ = 10826460008. Its totient is φ = 9220708224.

The previous prime is 10021120987. The next prime is 10021120997. The reversal of 10021120993 is 39902112001.

10021120993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 399080529 + 9622040464 = 19977^2 + 98092^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-10021120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021120997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227330 + ... + 1235467.

It is an arithmetic number, because the mean of its divisors is an integer number (1353307501).

Almost surely, 2^10021120993 is an apocalyptic number.

10021120993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021120993 is a deficient number, since it is larger than the sum of its proper divisors (805339015).

10021120993 is a wasteful number, since it uses less digits than its factorization.

10021120993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463123.

The product of its (nonzero) digits is 972, while the sum is 28.

Adding to 10021120993 its reverse (39902112001), we get a palindrome (49923232994).

The spelling of 10021120993 in words is "ten billion, twenty-one million, one hundred twenty thousand, nine hundred ninety-three".