2122013112300 has 216 divisors, whose sum is σ = 6714689763600. Its totient is φ = 560486707200.

The previous prime is 2122013112287. The next prime is 2122013112313. The reversal of 2122013112300 is 32113102212.

2122013112300 is a `hidden beast` number, since 2 + 1 + 220 + 131 + 12 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (2122013112287) and next prime (2122013112313).

It is a super-2 number, since 2×2122013112300² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 172782160 + ... + 172794440.

Almost surely, 2^{2122013112300} is an apocalyptic number.

2122013112300 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 2122013112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357344881800).

2122013112300 is an abundant number, since it is smaller than the sum of its proper divisors (4592676651300).

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

2122013112300 is a wasteful number, since it uses less digits than its factorization.

2122013112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14113 (or 14103 counting only the distinct ones).

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

Adding to 2122013112300 its reverse (32113102212), we get a palindrome (2154126214512).

The spelling of 2122013112300 in words is "two trillion, one hundred twenty-two billion, thirteen million, one hundred twelve thousand, three hundred".