10100935010085 has 32 divisors (see below), whose sum is σ = 17027899619328. Its totient is φ = 5102912189760.

The previous prime is 10100935010083. The next prime is 10100935010107. The reversal of 10100935010085 is 58001053900101.

It is not a de Polignac number, because 10100935010085 - 2¹ = 10100935010083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100935010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142091031 + ... + 142162100.

It is an arithmetic number, because the mean of its divisors is an integer number (532121863104).

Almost surely, 2^{10100935010085} is an apocalyptic number.

10100935010085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100935010085 is a deficient number, since it is larger than the sum of its proper divisors (6926964609243).

10100935010085 is a wasteful number, since it uses less digits than its factorization.

10100935010085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284253265.

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 10100935010085 its reverse (58001053900101), we get a palindrome (68101988910186).

The spelling of 10100935010085 in words is "ten trillion, one hundred billion, nine hundred thirty-five million, ten thousand, eighty-five".