211101220201200 has 240 divisors, whose sum is σ = 772957347134976. Its totient is φ = 48243851136000.

The previous prime is 211101220201181. The next prime is 211101220201213. The reversal of 211101220201200 is 2102022101112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211101220201200.

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, 49625554 + ... + 53711246.

Almost surely, 2^{211101220201200} is an apocalyptic number.

211101220201200 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 211101220201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386478673567488).

211101220201200 is an abundant number, since it is smaller than the sum of its proper divisors (561856126933776).

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

211101220201200 is a wasteful number, since it uses less digits than its factorization.

211101220201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091872 (or 4091861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211101220201200 its reverse (2102022101112), we get a palindrome (213203242302312).

The spelling of 211101220201200 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty million, two hundred one thousand, two hundred".