1101121101200 has 30 divisors (see below), whose sum is σ = 2645443446594. Its totient is φ = 440448440320.

The previous prime is 1101121101133. The next prime is 1101121101203. The reversal of 1101121101200 is 21011211011.

It can be written as a sum of positive squares in 3 ways, for example, as 7264493824 + 1093856607376 = 85232^2 + 1045876^2 .

It is not an unprimeable number, because it can be changed into a prime (1101121101203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1376400977 + ... + 1376401776.

Almost surely, 2^{1101121101200} is an apocalyptic number.

1101121101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101121101200 is an abundant number, since it is smaller than the sum of its proper divisors (1544322345394).

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

1101121101200 is a wasteful number, since it uses less digits than its factorization.

1101121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752802771 (or 2752802760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1101121101200 its reverse (21011211011), we get a palindrome (1122132312211).

The spelling of 1101121101200 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred".