1010212120120 has 512 divisors, whose sum is σ = 2902376448000. Its totient is φ = 315055104000.

The previous prime is 1010212120087. The next prime is 1010212120121. The reversal of 1010212120120 is 210212120101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010212120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010212120121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 877681545 + ... + 877682695.

It is an arithmetic number, because the mean of its divisors is an integer number (5668704000).

Almost surely, 2^{1010212120120} is an apocalyptic number.

1010212120120 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 1010212120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451188224000).

1010212120120 is an abundant number, since it is smaller than the sum of its proper divisors (1892164327880).

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

1010212120120 is a wasteful number, since it uses less digits than its factorization.

1010212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010212120120 its reverse (210212120101), we get a palindrome (1220424240221).

The spelling of 1010212120120 in words is "one trillion, ten billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".