2010502050102 has 768 divisors, whose sum is σ = 5858018869248. Its totient is φ = 484266885120.

The previous prime is 2010502050097. The next prime is 2010502050119.

2010502050102 is a `hidden beast` number, since 2 + 0 + 10 + 502 + 0 + 50 + 102 = 666.

2010502050102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14675197378 + ... + 14675197514.

It is an arithmetic number, because the mean of its divisors is an integer number (7627628736).

Almost surely, 2^{2010502050102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010502050102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929009434624).

2010502050102 is an abundant number, since it is smaller than the sum of its proper divisors (3847516819146).

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

2010502050102 is a wasteful number, since it uses less digits than its factorization.

2010502050102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 2010502050102 in words is "two trillion, ten billion, five hundred two million, fifty thousand, one hundred two".