1010000002120 has 64 divisors (see below), whose sum is σ = 2353532857200. Its totient is φ = 389625815040.

The previous prime is 1010000002111. The next prime is 1010000002139. The reversal of 1010000002120 is 212000000101.

It can be written as a sum of positive squares in 8 ways, for example, as 470735954404 + 539264047716 = 686102^2 + 734346^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527812 + ... + 1516108.

Almost surely, 2^{1010000002120} is an apocalyptic number.

1010000002120 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 1010000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176766428600).

1010000002120 is an abundant number, since it is smaller than the sum of its proper divisors (1343532855080).

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

1010000002120 is a wasteful number, since it uses less digits than its factorization.

1010000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989218 (or 989214 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010000002120 its reverse (212000000101), we get a palindrome (1222000002221).

The spelling of 1010000002120 in words is "one trillion, ten billion, two thousand, one hundred twenty".