10200122101201 has 2 divisors, whose sum is σ = 10200122101202. Its totient is φ = 10200122101200.

The previous prime is 10200122101109. The next prime is 10200122101243. The reversal of 10200122101201 is 10210122100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8454224988225 + 1745897112976 = 2907615^2 + 1321324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200122101201 - 2⁷ = 10200122101073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200122101271) 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, 5100061050600 + 5100061050601.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061050601).

Almost surely, 2^{10200122101201} is an apocalyptic number.

It is an amenable number.

10200122101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122101201 is an equidigital number, since it uses as much as digits as its factorization.

10200122101201 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 13.

Adding to 10200122101201 its reverse (10210122100201), we get a palindrome (20410244201402).

It can be divided in two parts, 1020012 and 2101201, that added together give a palindrome (3121213).

The spelling of 10200122101201 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred one thousand, two hundred one".