1011111121101 has 8 divisors (see below), whose sum is σ = 1348211007424. Its totient is φ = 674042657760.

The previous prime is 1011111121081. The next prime is 1011111121123. The reversal of 1011111121101 is 1011211111101.

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

It is not a de Polignac number, because 1011111121101 - 2¹⁰ = 1011111120077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111121901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7780561 + ... + 7909446.

It is an arithmetic number, because the mean of its divisors is an integer number (168526375928).

Almost surely, 2^{1011111121101} is an apocalyptic number.

It is an amenable number.

1011111121101 is a deficient number, since it is larger than the sum of its proper divisors (337099886323).

1011111121101 is a wasteful number, since it uses less digits than its factorization.

1011111121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711491.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1011111121101 its reverse (1011211111101), we get a palindrome (2022322232202).

The spelling of 1011111121101 in words is "one trillion, eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".