10120211122120 has 128 divisors (see below), whose sum is σ = 25091006601600. Its totient is φ = 3642980608000.

The previous prime is 10120211122117. The next prime is 10120211122163. The reversal of 10120211122120 is 2122111202101.

It is a junction number, because it is equal to n+sod(n) for n = 10120211122094 and 10120211122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291909027 + ... + 291943693.

It is an arithmetic number, because the mean of its divisors is an integer number (196023489075).

Almost surely, 2^{10120211122120} is an apocalyptic number.

10120211122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545503300800).

10120211122120 is an abundant number, since it is smaller than the sum of its proper divisors (14970795479480).

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

10120211122120 is a wasteful number, since it uses less digits than its factorization.

10120211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41359 (or 41355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10120211122120 its reverse (2122111202101), we get a palindrome (12242322324221).

The spelling of 10120211122120 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".