211410121300 has 144 divisors (see below), whose sum is σ = 527117512320. Its totient is φ = 72094717440.

The previous prime is 211410121297. The next prime is 211410121327. The reversal of 211410121300 is 3121014112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144899971 + ... + 144901429.

It is an arithmetic number, because the mean of its divisors is an integer number (3660538280).

Almost surely, 2^211410121300 is an apocalyptic number.

211410121300 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 211410121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263558756160).

211410121300 is an abundant number, since it is smaller than the sum of its proper divisors (315707391020).

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

211410121300 is a wasteful number, since it uses less digits than its factorization.

211410121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211410121300 its reverse (3121014112), we get a palindrome (214531135412).

The spelling of 211410121300 in words is "two hundred eleven billion, four hundred ten million, one hundred twenty-one thousand, three hundred".