201010202010102 has 128 divisors (see below), whose sum is σ = 447897680621568. Its totient is φ = 59858813952000.

The previous prime is 201010202010067. The next prime is 201010202010127.

201010202010102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31230558 + ... + 37112910.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200629856).

Almost surely, 2^{201010202010102} is an apocalyptic number.

201010202010102 is an abundant number, since it is smaller than the sum of its proper divisors (246887478611466).

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

201010202010102 is a wasteful number, since it uses less digits than its factorization.

201010202010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882614.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 20101020 and 2010102, that added together give a palindrome (22111122).

The spelling of 201010202010102 in words is "two hundred one trillion, ten billion, two hundred two million, ten thousand, one hundred two".