1111001006101 has 8 divisors (see below), whose sum is σ = 1269725919680. Its totient is φ = 952278713568.

The previous prime is 1111001006081. The next prime is 1111001006117. The reversal of 1111001006101 is 1016001001111.

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

It is not a de Polignac number, because 1111001006101 - 2⁷ = 1111001005973 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 (1111001006191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357385 + ... + 1532881.

It is an arithmetic number, because the mean of its divisors is an integer number (158715739960).

Almost surely, 2^{1111001006101} is an apocalyptic number.

It is an amenable number.

1111001006101 is a deficient number, since it is larger than the sum of its proper divisors (158724913579).

1111001006101 is a wasteful number, since it uses less digits than its factorization.

1111001006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310523.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1111001006101 its reverse (1016001001111), we get a palindrome (2127002007212).

The spelling of 1111001006101 in words is "one trillion, one hundred eleven billion, one million, six thousand, one hundred one".