211020020020000 has 480 divisors, whose sum is σ = 547907981322240. Its totient is φ = 79856824320000.

The previous prime is 211020020019971. The next prime is 211020020020027. The reversal of 211020020020000 is 20020020112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29402256412 + ... + 29402263588.

It is an arithmetic number, because the mean of its divisors is an integer number (1141474961088).

Almost surely, 2^{211020020020000} is an apocalyptic number.

211020020020000 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 211020020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273953990661120).

211020020020000 is an abundant number, since it is smaller than the sum of its proper divisors (336887961302240).

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

211020020020000 is a wasteful number, since it uses less digits than its factorization.

211020020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211020020020000 its reverse (20020020112), we get a palindrome (211040040040112).

The spelling of 211020020020000 in words is "two hundred eleven trillion, twenty billion, twenty million, twenty thousand".