20100001121 has 2 divisors, whose sum is σ = 20100001122. Its totient is φ = 20100001120.

The previous prime is 20100001087. The next prime is 20100001127. The reversal of 20100001121 is 12110000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18923854096 + 1176147025 = 137564^2 + 34295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100001099 and 20100001108.

It is not a weakly prime, because it can be changed into another prime (20100001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050000560 + 10050000561.

It is an arithmetic number, because the mean of its divisors is an integer number (10050000561).

Almost surely, 2^20100001121 is an apocalyptic number.

It is an amenable number.

20100001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100001121 is an equidigital number, since it uses as much as digits as its factorization.

20100001121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20100001121 its reverse (12110000102), we get a palindrome (32210001223).

The spelling of 20100001121 in words is "twenty billion, one hundred million, one thousand, one hundred twenty-one".