10012121102201 has 2 divisors, whose sum is σ = 10012121102202. Its totient is φ = 10012121102200.

The previous prime is 10012121102177. The next prime is 10012121102209. The reversal of 10012121102201 is 10220112121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7602482707600 + 2409638394601 = 2757260^2 + 1552301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012121102201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012121102209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006060551100 + 5006060551101.

It is an arithmetic number, because the mean of its divisors is an integer number (5006060551101).

Almost surely, 2^{10012121102201} is an apocalyptic number.

It is an amenable number.

10012121102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012121102201 is an equidigital number, since it uses as much as digits as its factorization.

10012121102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012121102201 its reverse (10220112121001), we get a palindrome (20232233223202).

The spelling of 10012121102201 in words is "ten trillion, twelve billion, one hundred twenty-one million, one hundred two thousand, two hundred one".