100001202121 has 2 divisors, whose sum is σ = 100001202122. Its totient is φ = 100001202120.

The previous prime is 100001202107. The next prime is 100001202131. The reversal of 100001202121 is 121202100001.

It is an a-pointer prime, because the next prime (100001202131) can be obtained adding 100001202121 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83514642121 + 16486560000 = 288989^2 + 128400^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001202121 - 2⁹ = 100001201609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001202098 and 100001202107.

It is not a weakly prime, because it can be changed into another prime (100001202131) 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 as a sum of consecutive naturals, namely, 50000601060 + 50000601061.

It is an arithmetic number, because the mean of its divisors is an integer number (50000601061).

Almost surely, 2^100001202121 is an apocalyptic number.

It is an amenable number.

100001202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001202121 is an equidigital number, since it uses as much as digits as its factorization.

100001202121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100001202121 its reverse (121202100001), we get a palindrome (221203302122).

It can be divided in two parts, 10000 and 1202121, that added together give a palindrome (1212121).

The spelling of 100001202121 in words is "one hundred billion, one million, two hundred two thousand, one hundred twenty-one".