100100100000021 has 16 divisors (see below), whose sum is σ = 145602887476800. Its totient is φ = 60665584763520.

The previous prime is 100100100000011. The next prime is 100100100000077. The reversal of 100100100000021 is 120000001001001.

It is not a de Polignac number, because 100100100000021 - 2¹⁸ = 100100099737877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100099999955 and 100100100000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26782240 + ... + 30290073.

It is an arithmetic number, because the mean of its divisors is an integer number (9100180467300).

Almost surely, 2^{100100100000021} is an apocalyptic number.

100100100000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100100000021 is a deficient number, since it is larger than the sum of its proper divisors (45502787476779).

100100100000021 is a wasteful number, since it uses less digits than its factorization.

100100100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57125476.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100100000021 its reverse (120000001001001), we get a palindrome (220100101001022).

The spelling of 100100100000021 in words is "one hundred trillion, one hundred billion, one hundred million, twenty-one", and thus it is an aban number.