1010000100105 has 16 divisors (see below), whose sum is σ = 1795555733760. Its totient is φ = 538666719984.

The previous prime is 1010000100101. The next prime is 1010000100163. The reversal of 1010000100105 is 5010010000101.

1010000100105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010000100105 - 2² = 1010000100101 is a prime.

It is a super-2 number, since 2×1010000100105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010000100101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740740977 + ... + 3740741246.

It is an arithmetic number, because the mean of its divisors is an integer number (112222233360).

Almost surely, 2^{1010000100105} is an apocalyptic number.

1010000100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010000100105 is a deficient number, since it is larger than the sum of its proper divisors (785555633655).

1010000100105 is an equidigital number, since it uses as much as digits as its factorization.

1010000100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481482237 (or 7481482231 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 1010000100105 its reverse (5010010000101), we get a palindrome (6020010100206).

The spelling of 1010000100105 in words is "one trillion, ten billion, one hundred thousand, one hundred five".