11102010001200 has 240 divisors, whose sum is σ = 39534389875200. Its totient is φ = 2959078176000.

The previous prime is 11102010001189. The next prime is 11102010001259. The reversal of 11102010001200 is 210001020111.

It is a happy number.

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 (9).

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, 21769125 + ... + 22273275.

It is an arithmetic number, because the mean of its divisors is an integer number (164726624480).

Almost surely, 2^{11102010001200} is an apocalyptic number.

11102010001200 is a gapful number since it is divisible by the number (10) 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 11102010001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767194937600).

11102010001200 is an abundant number, since it is smaller than the sum of its proper divisors (28432379874000).

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

11102010001200 is a wasteful number, since it uses less digits than its factorization.

11102010001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506217 (or 506200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102010001200 its reverse (210001020111), we get a palindrome (11312011021311).

The spelling of 11102010001200 in words is "eleven trillion, one hundred two billion, ten million, one thousand, two hundred".