10002010022120 has 64 divisors (see below), whose sum is σ = 22855055418000. Its totient is φ = 3938872926208.

The previous prime is 10002010022119. The next prime is 10002010022129. The reversal of 10002010022120 is 2122001020001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3160238622436 + 6841771399684 = 1777706^2 + 2615678^2 .

It is not an unprimeable number, because it can be changed into a prime (10002010022129) 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, 5199605 + ... + 6858564.

Almost surely, 2^{10002010022120} is an apocalyptic number.

10002010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002010022120 is an abundant number, since it is smaller than the sum of its proper divisors (12853045395880).

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

10002010022120 is a wasteful number, since it uses less digits than its factorization.

10002010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058502 (or 12058498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002010022120 its reverse (2122001020001), we get a palindrome (12124011042121).

The spelling of 10002010022120 in words is "ten trillion, two billion, ten million, twenty-two thousand, one hundred twenty".