1102111212200 has 96 divisors (see below), whose sum is σ = 2590333103160. Its totient is φ = 436048896000.

The previous prime is 1102111212199. The next prime is 1102111212211. The reversal of 1102111212200 is 22121112011.

It can be written as a sum of positive squares in 12 ways, for example, as 216852274276 + 885258937924 = 465674^2 + 940882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20840192 + ... + 20893008.

Almost surely, 2^{1102111212200} is an apocalyptic number.

1102111212200 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 1102111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295166551580).

1102111212200 is an abundant number, since it is smaller than the sum of its proper divisors (1488221890960).

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

1102111212200 is a wasteful number, since it uses less digits than its factorization.

1102111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53967 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102111212200 its reverse (22121112011), we get a palindrome (1124232324211).

The spelling of 1102111212200 in words is "one trillion, one hundred two billion, one hundred eleven million, two hundred twelve thousand, two hundred".