10121120 has 72 divisors (see below), whose sum is σ = 25739532. Its totient is φ = 3747840.

The previous prime is 10121119. The next prime is 10121131. The reversal of 10121120 is 2112101.

10121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 659344 + 9461776 = 812^2 + 3076^2 .

It is a super-3 number, since 3×10121120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10121098 and 10121107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165890 + ... + 165950.

Almost surely, 2^10121120 is an apocalyptic number.

10121120 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 10121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869766).

10121120 is an abundant number, since it is smaller than the sum of its proper divisors (15618412).

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

10121120 is an equidigital number, since it uses as much as digits as its factorization.

10121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 10121120 is about 3181.3707737389. The cubic root of 10121120 is about 216.3097978015.

Adding to 10121120 its reverse (2112101), we get a palindrome (12233221).

The spelling of 10121120 in words is "ten million, one hundred twenty-one thousand, one hundred twenty".