1101011121200 has 60 divisors (see below), whose sum is σ = 2645350043160. Its totient is φ = 440376007680.

The previous prime is 1101011121113. The next prime is 1101011121209. The reversal of 1101011121200 is 21211101011.

It is not an unprimeable number, because it can be changed into a prime (1101011121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6774491 + ... + 6935109.

It is an arithmetic number, because the mean of its divisors is an integer number (44089167386).

Almost surely, 2^{1101011121200} is an apocalyptic number.

1101011121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101011121200 is an abundant number, since it is smaller than the sum of its proper divisors (1544338921960).

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

1101011121200 is a wasteful number, since it uses less digits than its factorization.

1101011121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177774 (or 177763 counting only the distinct ones).

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

Adding to 1101011121200 its reverse (21211101011), we get a palindrome (1122222222211).

The spelling of 1101011121200 in words is "one trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, two hundred".