20010100027121 has 2 divisors, whose sum is σ = 20010100027122. Its totient is φ = 20010100027120.

The previous prime is 20010100027117. The next prime is 20010100027123. The reversal of 20010100027121 is 12172000101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11822346996496 + 8187753030625 = 3438364^2 + 2861425^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010100027121 - 2² = 20010100027117 is a prime.

Together with 20010100027123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20010100027121.

It is not a weakly prime, because it can be changed into another prime (20010100027123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005050013560 + 10005050013561.

It is an arithmetic number, because the mean of its divisors is an integer number (10005050013561).

Almost surely, 2^{20010100027121} is an apocalyptic number.

It is an amenable number.

20010100027121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010100027121 is an equidigital number, since it uses as much as digits as its factorization.

20010100027121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 20010100027121 its reverse (12172000101002), we get a palindrome (32182100128123).

The spelling of 20010100027121 in words is "twenty trillion, ten billion, one hundred million, twenty-seven thousand, one hundred twenty-one".