1011101001101 has 8 divisors (see below), whose sum is σ = 1021192380000. Its totient is φ = 1001011200400.

The previous prime is 1011101001073. The next prime is 1011101001103. The reversal of 1011101001101 is 1011001011101.

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 1011101001101 - 2⁶ = 1011101001037 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 (1011101001103) 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, 914750 + ... + 1690848.

It is an arithmetic number, because the mean of its divisors is an integer number (127649047500).

Almost surely, 2^{1011101001101} is an apocalyptic number.

It is an amenable number.

1011101001101 is a deficient number, since it is larger than the sum of its proper divisors (10091378899).

1011101001101 is a wasteful number, since it uses less digits than its factorization.

1011101001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789099.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011101001101 its reverse (1011001011101), we get a palindrome (2022102012202).

The spelling of 1011101001101 in words is "one trillion, eleven billion, one hundred one million, one thousand, one hundred one".