11211002101200 has 240 divisors, whose sum is σ = 40010919422976. Its totient is φ = 2659992614400.

The previous prime is 11211002101157. The next prime is 11211002101213. The reversal of 11211002101200 is 210120011211.

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

It is a super-2 number, since 2×11211002101200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8414902 + ... + 9655701.

Almost surely, 2^{11211002101200} is an apocalyptic number.

11211002101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211002101200 is an abundant number, since it is smaller than the sum of its proper divisors (28799917321776).

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

11211002101200 is a wasteful number, since it uses less digits than its factorization.

11211002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070682 (or 18070671 counting only the distinct ones).

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

Adding to 11211002101200 its reverse (210120011211), we get a palindrome (11421122112411).

The spelling of 11211002101200 in words is "eleven trillion, two hundred eleven billion, two million, one hundred one thousand, two hundred".