100002121201 has 16 divisors (see below), whose sum is σ = 101417855616. Its totient is φ = 98598240000.

The previous prime is 100002121169. The next prime is 100002121211. The reversal of 100002121201 is 102121200001.

It is a cyclic number.

It is not a de Polignac number, because 100002121201 - 2⁵ = 100002121169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14550796 + ... + 14557666.

It is an arithmetic number, because the mean of its divisors is an integer number (6338615976).

Almost surely, 2^100002121201 is an apocalyptic number.

It is an amenable number.

100002121201 is a deficient number, since it is larger than the sum of its proper divisors (1415734415).

100002121201 is a wasteful number, since it uses less digits than its factorization.

100002121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704.

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

Adding to 100002121201 its reverse (102121200001), we get a palindrome (202123321202).

The spelling of 100002121201 in words is "one hundred billion, two million, one hundred twenty-one thousand, two hundred one".