10202000021120 has 64 divisors (see below), whose sum is σ = 24422430488040. Its totient is φ = 4075232563200.

The previous prime is 10202000021119. The next prime is 10202000021231. The reversal of 10202000021120 is 2112000020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8993425201216 + 1208574819904 = 2998904^2 + 1099352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10404431 + ... + 11342670.

Almost surely, 2^{10202000021120} is an apocalyptic number.

10202000021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202000021120 is an abundant number, since it is smaller than the sum of its proper divisors (14220430466920).

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

10202000021120 is an equidigital number, since it uses as much as digits as its factorization.

10202000021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21747853 (or 21747841 counting only the distinct ones).

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

Adding to 10202000021120 its reverse (2112000020201), we get a palindrome (12314000041321).

The spelling of 10202000021120 in words is "ten trillion, two hundred two billion, twenty-one thousand, one hundred twenty".