1001105506101 has 32 divisors (see below), whose sum is σ = 1408167936000. Its totient is φ = 630880081920.

The previous prime is 1001105506087. The next prime is 1001105506117. The reversal of 1001105506101 is 1016055011001.

It is a happy number.

It is not a de Polignac number, because 1001105506101 - 2⁵ = 1001105506069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001105506151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62068300 + ... + 62084426.

It is an arithmetic number, because the mean of its divisors is an integer number (44005248000).

Almost surely, 2^{1001105506101} is an apocalyptic number.

It is an amenable number.

1001105506101 is a deficient number, since it is larger than the sum of its proper divisors (407062429899).

1001105506101 is a wasteful number, since it uses less digits than its factorization.

1001105506101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1001105506101 in words is "one trillion, one billion, one hundred five million, five hundred six thousand, one hundred one".