100110100110010 has 8 divisors (see below), whose sum is σ = 180198180198036. Its totient is φ = 40044040044000.

The previous prime is 100110100109983. The next prime is 100110100110037. The reversal of 100110100110010 is 10011001011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100110100109983) and next prime (100110100110037).

It can be written as a sum of positive squares in 2 ways, for example, as 97937486017569 + 2172614092441 = 9896337^2 + 1473979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 100110100109975 and 100110100110002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005505005491 + ... + 5005505005510.

Almost surely, 2^{100110100110010} is an apocalyptic number.

100110100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110100110010 is a deficient number, since it is larger than the sum of its proper divisors (80088080088026).

100110100110010 is a wasteful number, since it uses less digits than its factorization.

100110100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011010011008.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110100110010 its reverse (10011001011001), we get a palindrome (110121101121011).

Subtracting from 100110100110010 its reverse (10011001011001), we obtain a palindrome (90099099099009).

The spelling of 100110100110010 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred ten thousand, ten".