2101313210100 has 144 divisors (see below), whose sum is σ = 6758685749760. Its totient is φ = 500560934400.

The previous prime is 2101313210093. The next prime is 2101313210107. The reversal of 2101313210100 is 10123131012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101313210093) and next prime (2101313210107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101313210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101313210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8569395 + ... + 8811194.

Almost surely, 2^{2101313210100} is an apocalyptic number.

2101313210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101313210100 is an abundant number, since it is smaller than the sum of its proper divisors (4657372539660).

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

2101313210100 is a wasteful number, since it uses less digits than its factorization.

2101313210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380650 (or 17380643 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2101313210100 its reverse (10123131012), we get a palindrome (2111436341112).

The spelling of 2101313210100 in words is "two trillion, one hundred one billion, three hundred thirteen million, two hundred ten thousand, one hundred".