21212002001000 has 256 divisors, whose sum is σ = 50960950709760. Its totient is φ = 8262223257600.

The previous prime is 21212002000991. The next prime is 21212002001009. The reversal of 21212002001000 is 10020021212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21212002000991) and next prime (21212002001009).

It is not an unprimeable number, because it can be changed into a prime (21212002001009) 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 63 ways as a sum of consecutive naturals, for example, 1568580239 + ... + 1568593761.

It is an arithmetic number, because the mean of its divisors is an integer number (199066213710).

Almost surely, 2^{21212002001000} is an apocalyptic number.

21212002001000 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 21212002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25480475354880).

21212002001000 is an abundant number, since it is smaller than the sum of its proper divisors (29748948708760).

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

21212002001000 is a wasteful number, since it uses less digits than its factorization.

21212002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13901 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21212002001000 its reverse (10020021212), we get a palindrome (21222022022212).

The spelling of 21212002001000 in words is "twenty-one trillion, two hundred twelve billion, two million, one thousand".