21210114321000 has 576 divisors, whose sum is σ = 80929839266640. Its totient is φ = 5002867584000.

The previous prime is 21210114320977. The next prime is 21210114321007. The reversal of 21210114321000 is 12341101212.

21210114321000 is a `hidden beast` number, since 2 + 1 + 210 + 11 + 432 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6491274648804 + 14718839672196 = 2547798^2 + 3836514^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21210114321007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40029802 + ... + 40556198.

Almost surely, 2^{21210114321000} is an apocalyptic number.

21210114321000 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 21210114321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40464919633320).

21210114321000 is an abundant number, since it is smaller than the sum of its proper divisors (59719724945640).

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

21210114321000 is a wasteful number, since it uses less digits than its factorization.

21210114321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526483 (or 526455 counting only the distinct ones).

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

Adding to 21210114321000 its reverse (12341101212), we get a palindrome (21222455422212).

The spelling of 21210114321000 in words is "twenty-one trillion, two hundred ten billion, one hundred fourteen million, three hundred twenty-one thousand".