2122321310100 has 108 divisors (see below), whose sum is σ = 6689051782140. Its totient is φ = 562825497600.

The previous prime is 2122321310071. The next prime is 2122321310141. The reversal of 2122321310100 is 10131232212.

2122321310100 is a `hidden beast` number, since 2 + 1 + 22 + 321 + 310 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1197527507856 + 924793802244 = 1094316^2 + 961662^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6351285 + ... + 6677084.

Almost surely, 2^{2122321310100} is an apocalyptic number.

2122321310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122321310100 is an abundant number, since it is smaller than the sum of its proper divisors (4566730472040).

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

2122321310100 is a wasteful number, since it uses less digits than its factorization.

2122321310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028570 (or 13028560 counting only the distinct ones).

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

Adding to 2122321310100 its reverse (10131232212), we get a palindrome (2132452542312).

The spelling of 2122321310100 in words is "two trillion, one hundred twenty-two billion, three hundred twenty-one million, three hundred ten thousand, one hundred".