1010565151104 has 128 divisors (see below), whose sum is σ = 2779601184000. Its totient is φ = 324920207360.

The previous prime is 1010565151103. The next prime is 1010565151121. The reversal of 1010565151104 is 4011515650101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010565151103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11437207 + ... + 11525225.

It is an arithmetic number, because the mean of its divisors is an integer number (21715634250).

Almost surely, 2^{1010565151104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010565151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389800592000).

1010565151104 is an abundant number, since it is smaller than the sum of its proper divisors (1769036032896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010565151104 is a wasteful number, since it uses less digits than its factorization.

1010565151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89096 (or 89084 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 1010565151104 in words is "one trillion, ten billion, five hundred sixty-five million, one hundred fifty-one thousand, one hundred four".