100000201121 has 2 divisors, whose sum is σ = 100000201122. Its totient is φ = 100000201120.

The previous prime is 100000201111. The next prime is 100000201123. The reversal of 100000201121 is 121102000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63705760000 + 36294441121 = 252400^2 + 190511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000201121 is a prime.

Together with 100000201123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000201099 and 100000201108.

It is not a weakly prime, because it can be changed into another prime (100000201123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000100560 + 50000100561.

It is an arithmetic number, because the mean of its divisors is an integer number (50000100561).

Almost surely, 2^100000201121 is an apocalyptic number.

It is an amenable number.

100000201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000201121 is an equidigital number, since it uses as much as digits as its factorization.

100000201121 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 100000201121 its reverse (121102000001), we get a palindrome (221102201122).

The spelling of 100000201121 in words is "one hundred billion, two hundred one thousand, one hundred twenty-one".