1100101121721 has 12 divisors (see below), whose sum is σ = 1816039947072. Its totient is φ = 628629212376.

The previous prime is 1100101121711. The next prime is 1100101121723. The reversal of 1100101121721 is 1271211010011.

It is not a de Polignac number, because 1100101121721 - 2¹⁵ = 1100101088953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100101121694 and 1100101121703.

It is not an unprimeable number, because it can be changed into a prime (1100101121723) 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 11 ways as a sum of consecutive naturals, for example, 8730961221 + ... + 8730961346.

It is an arithmetic number, because the mean of its divisors is an integer number (151336662256).

Almost surely, 2^{1100101121721} is an apocalyptic number.

It is an amenable number.

1100101121721 is a deficient number, since it is larger than the sum of its proper divisors (715938825351).

1100101121721 is a wasteful number, since it uses less digits than its factorization.

1100101121721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461922580 (or 17461922577 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 18.

Adding to 1100101121721 its reverse (1271211010011), we get a palindrome (2371312131732).

The spelling of 1100101121721 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, seven hundred twenty-one".