2010010310100 has 360 divisors, whose sum is σ = 7021511453880. Its totient is φ = 494444113920.

The previous prime is 2010010310059. The next prime is 2010010310101. The reversal of 2010010310100 is 10130100102.

It can be written as a sum of positive squares in 12 ways, for example, as 1907100236484 + 102910073616 = 1380978^2 + 320796^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010010310101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184585456 + ... + 184596344.

It is an arithmetic number, because the mean of its divisors is an integer number (19504198483).

Almost surely, 2^{2010010310100} is an apocalyptic number.

2010010310100 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 2010010310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510755726940).

2010010310100 is an abundant number, since it is smaller than the sum of its proper divisors (5011501143780).

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

2010010310100 is a wasteful number, since it uses less digits than its factorization.

2010010310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2010010310100 its reverse (10130100102), we get a palindrome (2020140410202).

The spelling of 2010010310100 in words is "two trillion, ten billion, ten million, three hundred ten thousand, one hundred".