1100101003121 has 16 divisors (see below), whose sum is σ = 1214466877440. Its totient is φ = 991814503680.

The previous prime is 1100101003069. The next prime is 1100101003129. The reversal of 1100101003121 is 1213001010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100101003121 - 2¹⁰ = 1100101002097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100101003129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8722595 + ... + 8847816.

It is an arithmetic number, because the mean of its divisors is an integer number (75904179840).

Almost surely, 2^{1100101003121} is an apocalyptic number.

It is an amenable number.

1100101003121 is a deficient number, since it is larger than the sum of its proper divisors (114365874319).

1100101003121 is a wasteful number, since it uses less digits than its factorization.

1100101003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17570584.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1100101003121 its reverse (1213001010011), we get a palindrome (2313102013132).

The spelling of 1100101003121 in words is "one trillion, one hundred billion, one hundred one million, three thousand, one hundred twenty-one".