100001020121 has 2 divisors, whose sum is σ = 100001020122. Its totient is φ = 100001020120.

The previous prime is 100001020109. The next prime is 100001020127. The reversal of 100001020121 is 121020100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60979363600 + 39021656521 = 246940^2 + 197539^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001020121 - 2⁶ = 100001020057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001020099 and 100001020108.

It is not a weakly prime, because it can be changed into another prime (100001020127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510060 + 50000510061.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510061).

Almost surely, 2^100001020121 is an apocalyptic number.

It is an amenable number.

100001020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001020121 is an equidigital number, since it uses as much as digits as its factorization.

100001020121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001020121 its reverse (121020100001), we get a palindrome (221021120122).

The spelling of 100001020121 in words is "one hundred billion, one million, twenty thousand, one hundred twenty-one".