211100201101000 has 128 divisors (see below), whose sum is σ = 504008271617760. Its totient is φ = 82742138880000.

The previous prime is 211100201100983. The next prime is 211100201101003. The reversal of 211100201101000 is 101102001112.

It can be written as a sum of positive squares in 16 ways, for example, as 5965679240676 + 205134521860324 = 2442474^2 + 14322518^2 .

It is a super-2 number, since 2×211100201101000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211100201101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976717 + ... + 20570716.

Almost surely, 2^{211100201101000} is an apocalyptic number.

211100201101000 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 211100201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252004135808880).

211100201101000 is an abundant number, since it is smaller than the sum of its proper divisors (292908070516760).

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

211100201101000 is a wasteful number, since it uses less digits than its factorization.

211100201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21547652 (or 21547638 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211100201101000 its reverse (101102001112), we get a palindrome (211201303102112).

The spelling of 211100201101000 in words is "two hundred eleven trillion, one hundred billion, two hundred one million, one hundred one thousand".