1000101106 has 16 divisors (see below), whose sum is σ = 1552561920. Its totient is φ = 482664240.

The previous prime is 1000101097. The next prime is 1000101107. The reversal of 1000101106 is 6011010001.

It is a junction number, because it is equal to n+sod(n) for n = 1000101092 and 1000101101.

It is not an unprimeable number, because it can be changed into a prime (1000101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3385 + ... + 44851.

It is an arithmetic number, because the mean of its divisors is an integer number (97035120).

Almost surely, 2^1000101106 is an apocalyptic number.

1000101106 is a deficient number, since it is larger than the sum of its proper divisors (552460814).

1000101106 is a wasteful number, since it uses less digits than its factorization.

1000101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41889.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1000101106 is about 31624.3751875037. The cubic root of 1000101106 is about 1000.0337008642.

Adding to 1000101106 its reverse (6011010001), we get a palindrome (7011111107).

The spelling of 1000101106 in words is "one billion, one hundred one thousand, one hundred six".