1102222211200 has 768 divisors, whose sum is σ = 3161870484480. Its totient is φ = 376012800000.

The previous prime is 1102222211171. The next prime is 1102222211219. The reversal of 1102222211200 is 21122222011.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8045417532 + ... + 8045417668.

It is an arithmetic number, because the mean of its divisors is an integer number (4117018860).

Almost surely, 2^{1102222211200} is an apocalyptic number.

1102222211200 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 1102222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580935242240).

1102222211200 is an abundant number, since it is smaller than the sum of its proper divisors (2059648273280).

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

1102222211200 is a wasteful number, since it uses less digits than its factorization.

1102222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1102222211200 its reverse (21122222011), we get a palindrome (1123344433211).

It can be divided in two parts, 11022 and 22211200, that added together give a palindrome (22222222).

The spelling of 1102222211200 in words is "one trillion, one hundred two billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".