1005055611101 has 16 divisors (see below), whose sum is σ = 1036362263040. Its totient is φ = 974250600960.

The previous prime is 1005055611089. The next prime is 1005055611121. The reversal of 1005055611101 is 1011165505001.

It is a cyclic number.

It is not a de Polignac number, because 1005055611101 - 2²² = 1005051416797 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 (1005055611121) 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, 2139245 + ... + 2566413.

It is an arithmetic number, because the mean of its divisors is an integer number (64772641440).

Almost surely, 2^{1005055611101} is an apocalyptic number.

It is an amenable number.

1005055611101 is a deficient number, since it is larger than the sum of its proper divisors (31306651939).

1005055611101 is a wasteful number, since it uses less digits than its factorization.

1005055611101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427756.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 1005055611101 in words is "one trillion, five billion, fifty-five million, six hundred eleven thousand, one hundred one".