2010202022010 has 256 divisors, whose sum is σ = 6155965992960. Its totient is φ = 408798627840.

The previous prime is 2010202021963. The next prime is 2010202022021. The reversal of 2010202022010 is 102202020102.

It is a super-3 number, since 3×2010202022010³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9182001 + ... + 9398379.

It is an arithmetic number, because the mean of its divisors is an integer number (24046742160).

Almost surely, 2^{2010202022010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010202022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077982996480).

2010202022010 is an abundant number, since it is smaller than the sum of its proper divisors (4145763970950).

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

2010202022010 is a wasteful number, since it uses less digits than its factorization.

2010202022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216533.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2010202022010 its reverse (102202020102), we get a palindrome (2112404042112).

The spelling of 2010202022010 in words is "two trillion, ten billion, two hundred two million, twenty-two thousand, ten".