1010011105507 has 8 divisors (see below), whose sum is σ = 1069434219600. Its totient is φ = 950589179904.

The previous prime is 1010011105457. The next prime is 1010011105511. The reversal of 1010011105507 is 7055011100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010011105507 - 2³¹ = 1007863621859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010011105517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929219 + ... + 2396227.

It is an arithmetic number, because the mean of its divisors is an integer number (133679277450).

Almost surely, 2^{1010011105507} is an apocalyptic number.

1010011105507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1010011105507 is a deficient number, since it is larger than the sum of its proper divisors (59423114093).

1010011105507 is a wasteful number, since it uses less digits than its factorization.

1010011105507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594245.

The product of its (nonzero) digits is 175, while the sum is 22.

Adding to 1010011105507 its reverse (7055011100101), we get a palindrome (8065022205608).

The spelling of 1010011105507 in words is "one trillion, ten billion, eleven million, one hundred five thousand, five hundred seven".