10120221020 has 96 divisors (see below), whose sum is σ = 26203782528. Its totient is φ = 3197140992.

The previous prime is 10120220987. The next prime is 10120221029. The reversal of 10120221020 is 2012202101.

It is a happy number.

10120221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120220992 and 10120221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1074572 + ... + 1083948.

It is an arithmetic number, because the mean of its divisors is an integer number (272956068).

Almost surely, 2^10120221020 is an apocalyptic number.

10120221020 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 10120221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101891264).

10120221020 is an abundant number, since it is smaller than the sum of its proper divisors (16083561508).

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

10120221020 is a wasteful number, since it uses less digits than its factorization.

10120221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120221020 its reverse (2012202101), we get a palindrome (12132423121).

The spelling of 10120221020 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, twenty".