10122121002120 has 192 divisors, whose sum is σ = 31101885809280. Its totient is φ = 2635365132288.

The previous prime is 10122121002107. The next prime is 10122121002157. The reversal of 10122121002120 is 2120012122101.

10122121002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10122121002120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122121002120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628577989 + ... + 628594091.

It is an arithmetic number, because the mean of its divisors is an integer number (161988988590).

Almost surely, 2^{10122121002120} is an apocalyptic number.

10122121002120 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 10122121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550942904640).

10122121002120 is an abundant number, since it is smaller than the sum of its proper divisors (20979764807160).

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

10122121002120 is a wasteful number, since it uses less digits than its factorization.

10122121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19036 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122121002120 its reverse (2120012122101), we get a palindrome (12242133124221).

The spelling of 10122121002120 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred twenty".