1005151366101 has 16 divisors (see below), whose sum is σ = 1411013260800. Its totient is φ = 634708916208.

The previous prime is 1005151366091. The next prime is 1005151366159. The reversal of 1005151366101 is 1016631515001.

It is not a de Polignac number, because 1005151366101 - 2⁷ = 1005151365973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005151366801) 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, 1419681 + ... + 2006438.

It is an arithmetic number, because the mean of its divisors is an integer number (88188328800).

Almost surely, 2^{1005151366101} is an apocalyptic number.

It is an amenable number.

1005151366101 is a deficient number, since it is larger than the sum of its proper divisors (405861894699).

1005151366101 is a wasteful number, since it uses less digits than its factorization.

1005151366101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431288.

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 1005151366101 in words is "one trillion, five billion, one hundred fifty-one million, three hundred sixty-six thousand, one hundred one".