21212202202000 has 160 divisors (see below), whose sum is σ = 51393859377120. Its totient is φ = 8467896729600.

The previous prime is 21212202201923. The next prime is 21212202202001. The reversal of 21212202202000 is 20220221212.

It can be written as a sum of positive squares in 16 ways, for example, as 11616754288896 + 9595447913104 = 3408336^2 + 3097652^2 .

It is a super-3 number, since 3×21212202202000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21212202202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4265471514 + ... + 4265476486.

It is an arithmetic number, because the mean of its divisors is an integer number (321211621107).

Almost surely, 2^{21212202202000} is an apocalyptic number.

21212202202000 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 21212202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25696929688560).

21212202202000 is an abundant number, since it is smaller than the sum of its proper divisors (30181657175120).

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

21212202202000 is a wasteful number, since it uses less digits than its factorization.

21212202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21212202202000 its reverse (20220221212), we get a palindrome (21232422423212).

The spelling of 21212202202000 in words is "twenty-one trillion, two hundred twelve billion, two hundred two million, two hundred two thousand".