21202120202000 has 160 divisors (see below), whose sum is σ = 51526930041600. Its totient is φ = 8437830912000.

The previous prime is 21202120201979. The next prime is 21202120202071. The reversal of 21202120202000 is 20202120212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1641151541 + ... + 1641164459.

It is an arithmetic number, because the mean of its divisors is an integer number (322043312760).

Almost surely, 2^{21202120202000} is an apocalyptic number.

21202120202000 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 21202120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763465020800).

21202120202000 is an abundant number, since it is smaller than the sum of its proper divisors (30324809839600).

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

21202120202000 is a wasteful number, since it uses less digits than its factorization.

21202120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21202120202000 its reverse (20202120212), we get a palindrome (21222322322212).

The spelling of 21202120202000 in words is "twenty-one trillion, two hundred two billion, one hundred twenty million, two hundred two thousand".