2010120010000 has 100 divisors (see below), whose sum is σ = 5122844227600. Its totient is φ = 761729616000.

The previous prime is 2010120009949. The next prime is 2010120010007. The reversal of 2010120010000 is 100210102.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2010120010007) 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 19 ways as a sum of consecutive naturals, for example, 5099790 + ... + 5479789.

It is an arithmetic number, because the mean of its divisors is an integer number (51228442276).

Almost surely, 2^{2010120010000} is an apocalyptic number.

2010120010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010120010000 is an abundant number, since it is smaller than the sum of its proper divisors (3112724217600).

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

2010120010000 is a wasteful number, since it uses less digits than its factorization.

2010120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579626 (or 10579605 counting only the distinct ones).

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

Adding to 2010120010000 its reverse (100210102), we get a palindrome (2010220220102).

The spelling of 2010120010000 in words is "two trillion, ten billion, one hundred twenty million, ten thousand".