10200120101120 has 72 divisors (see below), whose sum is σ = 24433409178360. Its totient is φ = 4079892070400.

The previous prime is 10200120101113. The next prime is 10200120101183. The reversal of 10200120101120 is 2110102100201.

It can be written as a sum of positive squares in 4 ways, for example, as 6862220333056 + 3337899768064 = 2619584^2 + 1826992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36855416 + ... + 37131144.

It is an arithmetic number, because the mean of its divisors is an integer number (339352905255).

Almost surely, 2^{10200120101120} is an apocalyptic number.

10200120101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200120101120 is an abundant number, since it is smaller than the sum of its proper divisors (14233289077240).

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

10200120101120 is an equidigital number, since it uses as much as digits as its factorization.

10200120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304651 (or 304637 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200120101120 its reverse (2110102100201), we get a palindrome (12310222201321).

The spelling of 10200120101120 in words is "ten trillion, two hundred billion, one hundred twenty million, one hundred one thousand, one hundred twenty".