201110110021200 has 240 divisors, whose sum is σ = 649705272201216. Its totient is φ = 53174788185600.

The previous prime is 201110110021199. The next prime is 201110110021201. The reversal of 201110110021200 is 2120011011102.

It is an interprime number because it is at equal distance from previous prime (201110110021199) and next prime (201110110021201).

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110110021201) 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, 68935339 + ... + 71793461.

Almost surely, 2^{201110110021200} is an apocalyptic number.

201110110021200 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 201110110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324852636100608).

201110110021200 is an abundant number, since it is smaller than the sum of its proper divisors (448595162180016).

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

201110110021200 is a wasteful number, since it uses less digits than its factorization.

201110110021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858642 (or 2858631 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201110110021200 its reverse (2120011011102), we get a palindrome (203230121032302).

The spelling of 201110110021200 in words is "two hundred one trillion, one hundred ten billion, one hundred ten million, twenty-one thousand, two hundred".