100106110005010 has 16 divisors (see below), whose sum is σ = 181975067298072. Its totient is φ = 39645984160000.

The previous prime is 100106110005001. The next prime is 100106110005019. The reversal of 100106110005010 is 10500011601001.

It is an interprime number because it is at equal distance from previous prime (100106110005001) and next prime (100106110005019).

It can be written as a sum of positive squares in 4 ways, for example, as 95307245826849 + 4798864178161 = 9762543^2 + 2190631^2 .

It is not an unprimeable number, because it can be changed into a prime (100106110005019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49557479191 + ... + 49557481210.

Almost surely, 2^{100106110005010} is an apocalyptic number.

100106110005010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100106110005010 is a deficient number, since it is larger than the sum of its proper divisors (81868957293062).

100106110005010 is a wasteful number, since it uses less digits than its factorization.

100106110005010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99114960509.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100106110005010 its reverse (10500011601001), we get a palindrome (110606121606011).

The spelling of 100106110005010 in words is "one hundred trillion, one hundred six billion, one hundred ten million, five thousand, ten".