10010200102121 has 2 divisors, whose sum is σ = 10010200102122. Its totient is φ = 10010200102120.

The previous prime is 10010200101991. The next prime is 10010200102141. The reversal of 10010200102121 is 12120100201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9803912454400 + 206287647721 = 3131120^2 + 454189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010200102121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10010200102141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005100051060 + 5005100051061.

It is an arithmetic number, because the mean of its divisors is an integer number (5005100051061).

Almost surely, 2^{10010200102121} is an apocalyptic number.

It is an amenable number.

10010200102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010200102121 is an equidigital number, since it uses as much as digits as its factorization.

10010200102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10010200102121 its reverse (12120100201001), we get a palindrome (22130300303122).

The spelling of 10010200102121 in words is "ten trillion, ten billion, two hundred million, one hundred two thousand, one hundred twenty-one".