1101101121100 has 36 divisors (see below), whose sum is σ = 2398015447744. Its totient is φ = 438850399680.

The previous prime is 1101101121089. The next prime is 1101101121139. The reversal of 1101101121100 is 11211011011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19847772 + ... + 19903171.

Almost surely, 2^{1101101121100} is an apocalyptic number.

1101101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101101121100 is an abundant number, since it is smaller than the sum of its proper divisors (1296914326644).

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

1101101121100 is a wasteful number, since it uses less digits than its factorization.

1101101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39751234 (or 39751227 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101101121100 its reverse (11211011011), we get a palindrome (1112312132111).

The spelling of 1101101121100 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred".