1010106051009 has 32 divisors (see below), whose sum is σ = 1472347266048. Its totient is φ = 610894344000.

The previous prime is 1010106051001. The next prime is 1010106051023. The reversal of 1010106051009 is 9001506010101.

It is not a de Polignac number, because 1010106051009 - 2³ = 1010106051001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010106051009.

It is not an unprimeable number, because it can be changed into a prime (1010106051001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30508554 + ... + 30541644.

It is an arithmetic number, because the mean of its divisors is an integer number (46010852064).

Almost surely, 2^{1010106051009} is an apocalyptic number.

It is an amenable number.

1010106051009 is a deficient number, since it is larger than the sum of its proper divisors (462241215039).

1010106051009 is a wasteful number, since it uses less digits than its factorization.

1010106051009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35029.

The product of its (nonzero) digits is 270, while the sum is 24.

The spelling of 1010106051009 in words is "one trillion, ten billion, one hundred six million, fifty-one thousand, nine".