21201266214 has 96 divisors (see below), whose sum is σ = 48510858240. Its totient is φ = 6863400000.

The previous prime is 21201266213. The next prime is 21201266231. The reversal of 21201266214 is 41266210212.

21201266214 is a `hidden beast` number, since 2 + 1 + 20 + 12 + 6 + 621 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201266213) by changing a digit.

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, 28230339 + ... + 28231089.

It is an arithmetic number, because the mean of its divisors is an integer number (505321440).

Almost surely, 2^21201266214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201266214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255429120).

21201266214 is an abundant number, since it is smaller than the sum of its proper divisors (27309592026).

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

21201266214 is a wasteful number, since it uses less digits than its factorization.

21201266214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21201266214 its reverse (41266210212), we get a palindrome (62467476426).

The spelling of 21201266214 in words is "twenty-one billion, two hundred one million, two hundred sixty-six thousand, two hundred fourteen".