211400110121200 has 480 divisors, whose sum is σ = 682025539571712. Its totient is φ = 60813047808000.

The previous prime is 211400110121197. The next prime is 211400110121201. The reversal of 211400110121200 is 2121011004112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211400110121201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2851211329 + ... + 2851285471.

Almost surely, 2^{211400110121200} is an apocalyptic number.

211400110121200 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 211400110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341012769785856).

211400110121200 is an abundant number, since it is smaller than the sum of its proper divisors (470625429450512).

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

211400110121200 is a wasteful number, since it uses less digits than its factorization.

211400110121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81313 (or 81302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211400110121200 its reverse (2121011004112), we get a palindrome (213521121125312).

The spelling of 211400110121200 in words is "two hundred eleven trillion, four hundred billion, one hundred ten million, one hundred twenty-one thousand, two hundred".