1000010100105 has 40 divisors (see below), whose sum is σ = 1792683001032. Its totient is φ = 533317208832.

The previous prime is 1000010100101. The next prime is 1000010100169. The reversal of 1000010100105 is 5010010100001.

It can be written as a sum of positive squares in 4 ways, for example, as 62838958329 + 937171141776 = 250677^2 + 968076^2 .

It is not a de Polignac number, because 1000010100105 - 2² = 1000010100101 is a prime.

It is a super-2 number, since 2×1000010100105² (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 (1000010100101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18835557 + ... + 18888573.

Almost surely, 2^{1000010100105} is an apocalyptic number.

1000010100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000010100105 is a deficient number, since it is larger than the sum of its proper divisors (792672900927).

1000010100105 is an equidigital number, since it uses as much as digits as its factorization.

1000010100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99607 (or 99598 counting only the distinct ones).

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

Adding to 1000010100105 its reverse (5010010100001), we get a palindrome (6010020200106).

The spelling of 1000010100105 in words is "one trillion, ten million, one hundred thousand, one hundred five".