211000020110000 has 800 divisors, whose sum is σ = 577068734094336. Its totient is φ = 74056320000000.

The previous prime is 211000020109927. The next prime is 211000020110149. The reversal of 211000020110000 is 11020000112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 211000020110000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163439209355 + ... + 163439210645.

Almost surely, 2^{211000020110000} is an apocalyptic number.

211000020110000 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 211000020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288534367047168).

211000020110000 is an abundant number, since it is smaller than the sum of its proper divisors (366068713984336).

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

211000020110000 is a wasteful number, since it uses less digits than its factorization.

211000020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211000020110000 its reverse (11020000112), we get a palindrome (211011040110112).

The spelling of 211000020110000 in words is "two hundred eleven trillion, twenty million, one hundred ten thousand".