1101212021200 has 60 divisors (see below), whose sum is σ = 2647815757740. Its totient is φ = 440126202880.

The previous prime is 1101212021177. The next prime is 1101212021243. The reversal of 1101212021200 is 21202121011.

It can be written as a sum of positive squares in 6 ways, for example, as 27866292624 + 1073345728576 = 166932^2 + 1036024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628429 + ... + 1611628.

It is an arithmetic number, because the mean of its divisors is an integer number (44130262629).

Almost surely, 2^{1101212021200} is an apocalyptic number.

1101212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101212021200 is an abundant number, since it is smaller than the sum of its proper divisors (1546603736540).

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

1101212021200 is a wasteful number, since it uses less digits than its factorization.

1101212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241304 (or 2241293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1101212021200 its reverse (21202121011), we get a palindrome (1122414142211).

The spelling of 1101212021200 in words is "one trillion, one hundred one billion, two hundred twelve million, twenty-one thousand, two hundred".