10033120222120 has 32 divisors (see below), whose sum is σ = 23125118564520. Its totient is φ = 3915363988480.

The previous prime is 10033120222117. The next prime is 10033120222123. The reversal of 10033120222120 is 2122202133001.

It is an interprime number because it is at equal distance from previous prime (10033120222117) and next prime (10033120222123).

It can be written as a sum of positive squares in 4 ways, for example, as 3330603100036 + 6702517122084 = 1824994^2 + 2588922^2 .

It is not an unprimeable number, because it can be changed into a prime (10033120222123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3058876477 + ... + 3058879756.

Almost surely, 2^{10033120222120} is an apocalyptic number.

10033120222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033120222120 is an abundant number, since it is smaller than the sum of its proper divisors (13091998342400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10033120222120 is a wasteful number, since it uses less digits than its factorization.

10033120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117756285 (or 6117756281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10033120222120 its reverse (2122202133001), we get a palindrome (12155322355121).

The spelling of 10033120222120 in words is "ten trillion, thirty-three billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".