10010202021120 has 288 divisors, whose sum is σ = 37386944888832. Its totient is φ = 2234835542016.

The previous prime is 10010202021037. The next prime is 10010202021137. The reversal of 10010202021120 is 2112020201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10010202021096 and 10010202021105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3174432 + ... + 5486111.

It is an arithmetic number, because the mean of its divisors is an integer number (129815780864).

Almost surely, 2^{10010202021120} is an apocalyptic number.

10010202021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010202021120 is an abundant number, since it is smaller than the sum of its proper divisors (27376742867712).

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

10010202021120 is an equidigital number, since it uses as much as digits as its factorization.

10010202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660617 (or 8660603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010202021120 its reverse (2112020201001), we get a palindrome (12122222222121).

The spelling of 10010202021120 in words is "ten trillion, ten billion, two hundred two million, twenty-one thousand, one hundred twenty".