10061221120 has 144 divisors (see below), whose sum is σ = 25009141248. Its totient is φ = 3874037760.

The previous prime is 10061221109. The next prime is 10061221217. The reversal of 10061221120 is 2112216001.

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 = 10061221094 and 10061221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9006802 + ... + 9007918.

It is an arithmetic number, because the mean of its divisors is an integer number (173674592).

Almost surely, 2^10061221120 is an apocalyptic number.

10061221120 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 10061221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504570624).

10061221120 is an abundant number, since it is smaller than the sum of its proper divisors (14947920128).

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

10061221120 is a wasteful number, since it uses less digits than its factorization.

10061221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10061221120 its reverse (2112216001), we get a palindrome (12173437121).

The spelling of 10061221120 in words is "ten billion, sixty-one million, two hundred twenty-one thousand, one hundred twenty".