21302213030100 has 108 divisors (see below), whose sum is σ = 68575214293404. Its totient is φ = 5527060669440.

The previous prime is 21302213030099. The next prime is 21302213030101. The reversal of 21302213030100 is 103031220312.

21302213030100 is a `hidden beast` number, since 2 + 130 + 221 + 303 + 0 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21302213030099) and next prime (21302213030101).

It can be written as a sum of positive squares in 6 ways, for example, as 3903003262404 + 17399209767696 = 1975602^2 + 4171236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302213030101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319819749 + ... + 319886348.

Almost surely, 2^{21302213030100} is an apocalyptic number.

21302213030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302213030100 is an abundant number, since it is smaller than the sum of its proper divisors (47273001263304).

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

21302213030100 is a wasteful number, since it uses less digits than its factorization.

21302213030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639706154 (or 639706144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21302213030100 its reverse (103031220312), we get a palindrome (21405244250412).

The spelling of 21302213030100 in words is "twenty-one trillion, three hundred two billion, two hundred thirteen million, thirty thousand, one hundred".