211312101000 has 768 divisors, whose sum is σ = 892051130880. Its totient is φ = 40525056000.

The previous prime is 211312100957. The next prime is 211312101029. The reversal of 211312101000 is 101213112.

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

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 191 ways as a sum of consecutive naturals, for example, 33029802 + ... + 33036198.

It is an arithmetic number, because the mean of its divisors is an integer number (1161524910).

Almost surely, 2^211312101000 is an apocalyptic number.

211312101000 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 211312101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446025565440).

211312101000 is an abundant number, since it is smaller than the sum of its proper divisors (680739029880).

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

211312101000 is a wasteful number, since it uses less digits than its factorization.

211312101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6438 counting only the distinct ones).

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

Adding to 211312101000 its reverse (101213112), we get a palindrome (211413314112).

The spelling of 211312101000 in words is "two hundred eleven billion, three hundred twelve million, one hundred one thousand".