1102134312011 has 16 divisors (see below), whose sum is σ = 1147352532480. Its totient is φ = 1058022760800.

The previous prime is 1102134311899. The next prime is 1102134312031.

1102134312011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1102134312011 - 2¹⁴ = 1102134295627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102134312031) 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, 577001 + ... + 1592858.

It is an arithmetic number, because the mean of its divisors is an integer number (71709533280).

Almost surely, 2^{1102134312011} is an apocalyptic number.

1102134312011 is a deficient number, since it is larger than the sum of its proper divisors (45218220469).

1102134312011 is a wasteful number, since it uses less digits than its factorization.

1102134312011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170114.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1102134312011 in words is "one trillion, one hundred two billion, one hundred thirty-four million, three hundred twelve thousand, eleven".