21112202301300 has 432 divisors, whose sum is σ = 72397691376192. Its totient is φ = 5103473356800.

The previous prime is 21112202301271. The next prime is 21112202301329. The reversal of 21112202301300 is 310320221112.

21112202301300 is a `hidden beast` number, since 2 + 1 + 112 + 20 + 230 + 1 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (21112202301271) and next prime (21112202301329).

It is a super-2 number, since 2×21112202301300² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8734877692 + ... + 8734880108.

It is an arithmetic number, because the mean of its divisors is an integer number (167587248556).

Almost surely, 2^{21112202301300} is an apocalyptic number.

21112202301300 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 21112202301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36198845688096).

21112202301300 is an abundant number, since it is smaller than the sum of its proper divisors (51285489074892).

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

21112202301300 is a wasteful number, since it uses less digits than its factorization.

21112202301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4598 counting only the distinct ones).

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

Adding to 21112202301300 its reverse (310320221112), we get a palindrome (21422522522412).

The spelling of 21112202301300 in words is "twenty-one trillion, one hundred twelve billion, two hundred two million, three hundred one thousand, three hundred".