10200201001121 has 2 divisors, whose sum is σ = 10200201001122. Its totient is φ = 10200201001120.

The previous prime is 10200201001079. The next prime is 10200201001141. The reversal of 10200201001121 is 12110010200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8908941496225 + 1291259504896 = 2984785^2 + 1136336^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200201001121 - 2¹⁴ = 10200200984737 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200201001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100100500560 + 5100100500561.

It is an arithmetic number, because the mean of its divisors is an integer number (5100100500561).

Almost surely, 2^{10200201001121} is an apocalyptic number.

It is an amenable number.

10200201001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200201001121 is an equidigital number, since it uses as much as digits as its factorization.

10200201001121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10200201001121 its reverse (12110010200201), we get a palindrome (22310211201322).

The spelling of 10200201001121 in words is "ten trillion, two hundred billion, two hundred one million, one thousand, one hundred twenty-one".