211335642100 has 144 divisors (see below), whose sum is σ = 506225474496. Its totient is φ = 75940480000.

The previous prime is 211335642061. The next prime is 211335642101. The reversal of 211335642100 is 1246533112.

211335642100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211335642101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68547159 + ... + 68550241.

It is an arithmetic number, because the mean of its divisors is an integer number (3515454684).

Almost surely, 2^211335642100 is an apocalyptic number.

211335642100 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 211335642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253112737248).

211335642100 is an abundant number, since it is smaller than the sum of its proper divisors (294889832396).

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

211335642100 is a wasteful number, since it uses less digits than its factorization.

211335642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 211335642100 in words is "two hundred eleven billion, three hundred thirty-five million, six hundred forty-two thousand, one hundred".