21012211302120 has 576 divisors, whose sum is σ = 73418372773200. Its totient is φ = 5207595909120.

The previous prime is 21012211302109. The next prime is 21012211302179. The reversal of 21012211302120 is 2120311221012.

21012211302120 is a `hidden beast` number, since 2 + 101 + 221 + 130 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17971003165284 + 3041208136836 = 4239222^2 + 1743906^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21012211302093 and 21012211302102.

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, 6630547896 + ... + 6630551064.

Almost surely, 2^{21012211302120} is an apocalyptic number.

21012211302120 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 21012211302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36709186386600).

21012211302120 is an abundant number, since it is smaller than the sum of its proper divisors (52406161471080).

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

21012211302120 is a wasteful number, since it uses less digits than its factorization.

21012211302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21012211302120 its reverse (2120311221012), we get a palindrome (23132522523132).

The spelling of 21012211302120 in words is "twenty-one trillion, twelve billion, two hundred eleven million, three hundred two thousand, one hundred twenty".