100002110101021 has 16 divisors (see below), whose sum is σ = 102051021077424. Its totient is φ = 97959271947264.

The previous prime is 100002110101009. The next prime is 100002110101031. The reversal of 100002110101021 is 120101011200001.

It can be written as a sum of positive squares in 8 ways, for example, as 2616594172921 + 97385515928100 = 1617589^2 + 9868410^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002110101021 - 2⁵ = 100002110100989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002110100989 and 100002110101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002110101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149437845 + ... + 150105541.

It is an arithmetic number, because the mean of its divisors is an integer number (6378188817339).

Almost surely, 2^{100002110101021} is an apocalyptic number.

It is an amenable number.

100002110101021 is a deficient number, since it is larger than the sum of its proper divisors (2048910976403).

100002110101021 is an equidigital number, since it uses as much as digits as its factorization.

100002110101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672240.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100002110101021 its reverse (120101011200001), we get a palindrome (220103121301022).

The spelling of 100002110101021 in words is "one hundred trillion, two billion, one hundred ten million, one hundred one thousand, twenty-one".