210211012011000 has 3072 divisors, whose sum is σ = 915912034652160. Its totient is φ = 39029962752000.

The previous prime is 210211012010953. The next prime is 210211012011001. The reversal of 210211012011000 is 110210112012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210211012011001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 358110752707 + ... + 358110753293.

It is an arithmetic number, because the mean of its divisors is an integer number (298148448780).

Almost surely, 2^{210211012011000} is an apocalyptic number.

210211012011000 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 210211012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457956017326080).

210211012011000 is an abundant number, since it is smaller than the sum of its proper divisors (705701022641160).

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

210211012011000 is a wasteful number, since it uses less digits than its factorization.

210211012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210211012011000 its reverse (110210112012), we get a palindrome (210321222123012).

The spelling of 210211012011000 in words is "two hundred ten trillion, two hundred eleven billion, twelve million, eleven thousand".