10261220120 has 64 divisors (see below), whose sum is σ = 23247544320. Its totient is φ = 4076175744.

The previous prime is 10261220089. The next prime is 10261220149. The reversal of 10261220120 is 2102216201.

10261220120 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 3×10261220120³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4485617 + ... + 4487903.

It is an arithmetic number, because the mean of its divisors is an integer number (363242880).

Almost surely, 2^10261220120 is an apocalyptic number.

10261220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10261220120 is an abundant number, since it is smaller than the sum of its proper divisors (12986324200).

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

10261220120 is a wasteful number, since it uses less digits than its factorization.

10261220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10261220120 its reverse (2102216201), we get a palindrome (12363436321).

The spelling of 10261220120 in words is "ten billion, two hundred sixty-one million, two hundred twenty thousand, one hundred twenty".