21121113300 has 144 divisors (see below), whose sum is σ = 71728325760. Its totient is φ = 4697187840.

The previous prime is 21121113199. The next prime is 21121113311. The reversal of 21121113300 is 331112112.

It is a happy number.

It is a super-2 number, since 2×21121113300² (a number of 21 digits) contains 22 as substring.

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 21121113300.

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 47 ways as a sum of consecutive naturals, for example, 58215 + ... + 213614.

Almost surely, 2^21121113300 is an apocalyptic number.

21121113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121113300 is an abundant number, since it is smaller than the sum of its proper divisors (50607212460).

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

21121113300 is a wasteful number, since it uses less digits than its factorization.

21121113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271890 (or 271883 counting only the distinct ones).

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

Adding to 21121113300 its reverse (331112112), we get a palindrome (21452225412).

It can be divided in two parts, 21121 and 113300, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 21121113300 in words is "twenty-one billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred".