2010202100000 has 144 divisors (see below), whose sum is σ = 4950115875432. Its totient is φ = 803520000000.

The previous prime is 2010202099991. The next prime is 2010202100041. The reversal of 2010202100000 is 12020102.

It can be written as a sum of positive squares in 12 ways, for example, as 772563649936 + 1237638450064 = 878956^2 + 1112492^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162093800 + ... + 162106200.

Almost surely, 2^{2010202100000} is an apocalyptic number.

2010202100000 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 2010202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475057937716).

2010202100000 is an abundant number, since it is smaller than the sum of its proper divisors (2939913775432).

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

2010202100000 is an equidigital number, since it uses as much as digits as its factorization.

2010202100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14029 counting only the distinct ones).

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

Adding to 2010202100000 its reverse (12020102), we get a palindrome (2010214120102).

The spelling of 2010202100000 in words is "two trillion, ten billion, two hundred two million, one hundred thousand".