211020102000 has 240 divisors, whose sum is σ = 756944802432. Its totient is φ = 54750988800.

The previous prime is 211020101959. The next prime is 211020102011. The reversal of 211020102000 is 201020112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 507577 + ... + 824423.

Almost surely, 2^211020102000 is an apocalyptic number.

211020102000 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 211020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378472401216).

211020102000 is an abundant number, since it is smaller than the sum of its proper divisors (545924700432).

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

211020102000 is a wasteful number, since it uses less digits than its factorization.

211020102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316913 (or 316894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211020102000 its reverse (201020112), we get a palindrome (211221122112).

The spelling of 211020102000 in words is "two hundred eleven billion, twenty million, one hundred two thousand".