211341142100 has 72 divisors (see below), whose sum is σ = 501881190048. Its totient is φ = 76608764800.

The previous prime is 211341142097. The next prime is 211341142121. The reversal of 211341142100 is 1241143112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45659 + ... + 651741.

It is an arithmetic number, because the mean of its divisors is an integer number (6970572084).

Almost surely, 2^211341142100 is an apocalyptic number.

211341142100 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 211341142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250940595024).

211341142100 is an abundant number, since it is smaller than the sum of its proper divisors (290540047948).

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

211341142100 is a wasteful number, since it uses less digits than its factorization.

211341142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606425 (or 606418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211341142100 its reverse (1241143112), we get a palindrome (212582285212).

The spelling of 211341142100 in words is "two hundred eleven billion, three hundred forty-one million, one hundred forty-two thousand, one hundred".