1001105011101 has 16 divisors (see below), whose sum is σ = 1442673607424. Its totient is φ = 613840555584.

The previous prime is 1001105011091. The next prime is 1001105011117. The reversal of 1001105011101 is 1011105011001.

It is a happy number.

It is not a de Polignac number, because 1001105011101 - 2¹⁷ = 1001104880029 is a prime.

It is a super-2 number, since 2×1001105011101² (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 (1001105011001) 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, 46323781 + ... + 46345386.

It is an arithmetic number, because the mean of its divisors is an integer number (90167100464).

Almost surely, 2^{1001105011101} is an apocalyptic number.

It is an amenable number.

1001105011101 is a deficient number, since it is larger than the sum of its proper divisors (441568596323).

1001105011101 is a wasteful number, since it uses less digits than its factorization.

1001105011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92669460.

The product of its (nonzero) digits is 5, while the sum is 12.

The spelling of 1001105011101 in words is "one trillion, one billion, one hundred five million, eleven thousand, one hundred one".