1100112102101 has 8 divisors (see below), whose sum is σ = 1103785113024. Its totient is φ = 1096443716800.

The previous prime is 1100112102091. The next prime is 1100112102143. The reversal of 1100112102101 is 1012012110011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100112102101 - 2¹⁴ = 1100112085717 is a prime.

It is a super-2 number, since 2×1100112102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112102161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679625 + ... + 1631598.

It is an arithmetic number, because the mean of its divisors is an integer number (137973139128).

Almost surely, 2^{1100112102101} is an apocalyptic number.

It is an amenable number.

1100112102101 is a deficient number, since it is larger than the sum of its proper divisors (3673010923).

1100112102101 is a wasteful number, since it uses less digits than its factorization.

1100112102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312811.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100112102101 its reverse (1012012110011), we get a palindrome (2112124212112).

The spelling of 1100112102101 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred two thousand, one hundred one".