21211002201000 has 512 divisors, whose sum is σ = 71837176320000. Its totient is φ = 5194508211200.

The previous prime is 21211002200939. The next prime is 21211002201031. The reversal of 21211002201000 is 10220011212.

It is a super-2 number, since 2×21211002201000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 358149391 + ... + 358208609.

It is an arithmetic number, because the mean of its divisors is an integer number (140306985000).

Almost surely, 2^{21211002201000} is an apocalyptic number.

21211002201000 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 21211002201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35918588160000).

21211002201000 is an abundant number, since it is smaller than the sum of its proper divisors (50626174119000).

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

21211002201000 is a wasteful number, since it uses less digits than its factorization.

21211002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59474 (or 59460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21211002201000 its reverse (10220011212), we get a palindrome (21221222212212).

The spelling of 21211002201000 in words is "twenty-one trillion, two hundred eleven billion, two million, two hundred one thousand".