9813120002100 has 108 divisors (see below), whose sum is σ = 30765507779916. Its totient is φ = 2616251074560.

The previous prime is 9813120002099. The next prime is 9813120002107. The reversal of 9813120002100 is 12000213189.

It can be written as a sum of positive squares in 6 ways, for example, as 3507125143824 + 6305994858276 = 1872732^2 + 2511174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813120002107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2853694 + ... + 5269706.

It is an arithmetic number, because the mean of its divisors is an integer number (284865812777).

Almost surely, 2^{9813120002100} is an apocalyptic number.

9813120002100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9813120002100 is an abundant number, since it is smaller than the sum of its proper divisors (20952387777816).

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

9813120002100 is a wasteful number, since it uses less digits than its factorization.

9813120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420546 (or 2420536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 9813120002100 its reverse (12000213189), we get a palindrome (9825120215289).

The spelling of 9813120002100 in words is "nine trillion, eight hundred thirteen billion, one hundred twenty million, two thousand, one hundred".