100002102121 has 16 divisors (see below), whose sum is σ = 103762890000. Its totient is φ = 96262483968.

The previous prime is 100002102113. The next prime is 100002102173. The reversal of 100002102121 is 121201200001.

It can be written as a sum of positive squares in 8 ways, for example, as 36366490000 + 63635612121 = 190700^2 + 252261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002102121 - 2³ = 100002102113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002102098 and 100002102107.

It is not an unprimeable number, because it can be changed into a prime (100002102181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34517745 + ... + 34520641.

It is an arithmetic number, because the mean of its divisors is an integer number (6485180625).

Almost surely, 2^100002102121 is an apocalyptic number.

It is an amenable number.

100002102121 is a deficient number, since it is larger than the sum of its proper divisors (3760787879).

100002102121 is a wasteful number, since it uses less digits than its factorization.

100002102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002102121 its reverse (121201200001), we get a palindrome (221203302122).

The spelling of 100002102121 in words is "one hundred billion, two million, one hundred two thousand, one hundred twenty-one".