20121000101 has 2 divisors, whose sum is σ = 20121000102. Its totient is φ = 20121000100.

The previous prime is 20121000091. The next prime is 20121000103. The reversal of 20121000101 is 10100012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17458336900 + 2662663201 = 132130^2 + 51601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121000101 is a prime.

Together with 20121000103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121000103) 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, 10060500050 + 10060500051.

It is an arithmetic number, because the mean of its divisors is an integer number (10060500051).

Almost surely, 2^20121000101 is an apocalyptic number.

It is an amenable number.

20121000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121000101 is an equidigital number, since it uses as much as digits as its factorization.

20121000101 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 20121000101 its reverse (10100012102), we get a palindrome (30221012203).

It can be divided in two parts, 20 and 121000101, that added together give a palindrome (121000121).

The spelling of 20121000101 in words is "twenty billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.