2010102100000 has 144 divisors (see below), whose sum is σ = 5237389301256. Its totient is φ = 756743680000.

The previous prime is 2010102099991. The next prime is 2010102100009. The reversal of 2010102100000 is 12010102.

It is an interprime number because it is at equal distance from previous prime (2010102099991) and next prime (2010102100009).

It can be written as a sum of positive squares in 12 ways, for example, as 737997828624 + 1272104271376 = 859068^2 + 1127876^2 .

It is not an unprimeable number, because it can be changed into a prime (2010102100009) 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 23 ways as a sum of consecutive naturals, for example, 1108794 + ... + 2291206.

Almost surely, 2^{2010102100000} is an apocalyptic number.

2010102100000 is a gapful number since it is divisible by the number (20) 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 2010102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618694650628).

2010102100000 is an abundant number, since it is smaller than the sum of its proper divisors (3227287201256).

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

2010102100000 is an equidigital number, since it uses as much as digits as its factorization.

2010102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182465 (or 1182437 counting only the distinct ones).

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

Adding to 2010102100000 its reverse (12010102), we get a palindrome (2010114110102).

The spelling of 2010102100000 in words is "two trillion, ten billion, one hundred two million, one hundred thousand".