1010212120 has 64 divisors (see below), whose sum is σ = 2338035840. Its totient is φ = 392601600.

The previous prime is 1010212111. The next prime is 1010212123. The reversal of 1010212120 is 212120101.

1010212120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010212097 and 1010212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010212123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443304 + ... + 445576.

It is an arithmetic number, because the mean of its divisors is an integer number (36531810).

Almost surely, 2^1010212120 is an apocalyptic number.

1010212120 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 1010212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169017920).

1010212120 is an abundant number, since it is smaller than the sum of its proper divisors (1327823720).

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

1010212120 is a wasteful number, since it uses less digits than its factorization.

1010212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010212120 is about 31783.8342557974. The cubic root of 1010212120 is about 1003.3925178079.

Adding to 1010212120 its reverse (212120101), we get a palindrome (1222332221).

It can be divided in two parts, 10102 and 12120, that added together give a palindrome (22222).

The spelling of 1010212120 in words is "one billion, ten million, two hundred twelve thousand, one hundred twenty".