1010100106005 has 32 divisors (see below), whose sum is σ = 1660446480000. Its totient is φ = 523968590592.

The previous prime is 1010100105979. The next prime is 1010100106033. The reversal of 1010100106005 is 5006010010101.

It is not a de Polignac number, because 1010100106005 - 2²² = 1010095911701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194666 + ... + 1856724.

It is an arithmetic number, because the mean of its divisors is an integer number (51888952500).

Almost surely, 2^{1010100106005} is an apocalyptic number.

1010100106005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010100106005 is a deficient number, since it is larger than the sum of its proper divisors (650346373995).

1010100106005 is a wasteful number, since it uses less digits than its factorization.

1010100106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664853.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 1010100106005 its reverse (5006010010101), we get a palindrome (6016110116106).

The spelling of 1010100106005 in words is "one trillion, ten billion, one hundred million, one hundred six thousand, five".