10122120121120 has 48 divisors (see below), whose sum is σ = 27329724330048. Its totient is φ = 3470441184000.

The previous prime is 10122120121103. The next prime is 10122120121153. The reversal of 10122120121120 is 2112102122101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10122120121094 and 10122120121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4518802506 + ... + 4518804745.

It is an arithmetic number, because the mean of its divisors is an integer number (569369256876).

Almost surely, 2^{10122120121120} is an apocalyptic number.

10122120121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122120121120 is an abundant number, since it is smaller than the sum of its proper divisors (17207604208928).

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

10122120121120 is an equidigital number, since it uses as much as digits as its factorization.

10122120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037607273 (or 9037607265 counting only the distinct ones).

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

Adding to 10122120121120 its reverse (2112102122101), we get a palindrome (12234222243221).

The spelling of 10122120121120 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".