2010010100202 has 128 divisors (see below), whose sum is σ = 4847543500800. Its totient is φ = 613678638528.

The previous prime is 2010010100191. The next prime is 2010010100239. The reversal of 2010010100202 is 2020010100102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223156383 + ... + 223165389.

It is an arithmetic number, because the mean of its divisors is an integer number (37871433600).

Almost surely, 2^{2010010100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010010100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423771750400).

2010010100202 is an abundant number, since it is smaller than the sum of its proper divisors (2837533400598).

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

2010010100202 is a wasteful number, since it uses less digits than its factorization.

2010010100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010010100202 its reverse (2020010100102), we get a palindrome (4030020200304).

The spelling of 2010010100202 in words is "two trillion, ten billion, ten million, one hundred thousand, two hundred two".