1100101121660 has 48 divisors (see below), whose sum is σ = 2322393024000. Its totient is φ = 437721413184.

The previous prime is 1100101121659. The next prime is 1100101121663. The reversal of 1100101121660 is 661211010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101121663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17237369 + ... + 17301071.

It is an arithmetic number, because the mean of its divisors is an integer number (48383188000).

Almost surely, 2^{1100101121660} is an apocalyptic number.

1100101121660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100101121660 is an abundant number, since it is smaller than the sum of its proper divisors (1222291902340).

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

1100101121660 is a wasteful number, since it uses less digits than its factorization.

1100101121660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68250 (or 68248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 1100101121660 its reverse (661211010011), we get a palindrome (1761312131671).

The spelling of 1100101121660 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, six hundred sixty".