2121103232100 has 432 divisors, whose sum is σ = 6864407681040. Its totient is φ = 547582464000.

The previous prime is 2121103232099. The next prime is 2121103232147. The reversal of 2121103232100 is 12323011212.

2121103232100 is a `hidden beast` number, since 2 + 121 + 10 + 323 + 210 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1010941767936 + 1110161464164 = 1005456^2 + 1053642^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1912626346 + ... + 1912627454.

It is an arithmetic number, because the mean of its divisors is an integer number (15889832595).

Almost surely, 2^{2121103232100} is an apocalyptic number.

2121103232100 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 2121103232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432203840520).

2121103232100 is an abundant number, since it is smaller than the sum of its proper divisors (4743304448940).

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

2121103232100 is a wasteful number, since it uses less digits than its factorization.

2121103232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121103232100 its reverse (12323011212), we get a palindrome (2133426243312).

The spelling of 2121103232100 in words is "two trillion, one hundred twenty-one billion, one hundred three million, two hundred thirty-two thousand, one hundred".