10021100120 has 64 divisors (see below), whose sum is σ = 23091156000. Its totient is φ = 3911943168.

The previous prime is 10021100107. The next prime is 10021100123. The reversal of 10021100120 is 2100112001.

10021100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10021100098 and 10021100107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100123) 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 15 ways as a sum of consecutive naturals, for example, 3591686 + ... + 3594474.

Almost surely, 2^10021100120 is an apocalyptic number.

10021100120 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 10021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545578000).

10021100120 is an abundant number, since it is smaller than the sum of its proper divisors (13070055880).

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

10021100120 is a wasteful number, since it uses less digits than its factorization.

10021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4928 counting only the distinct ones).

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

Adding to 10021100120 its reverse (2100112001), we get a palindrome (12121212121).

The spelling of 10021100120 in words is "ten billion, twenty-one million, one hundred thousand, one hundred twenty".