10202210001121 has 2 divisors, whose sum is σ = 10202210001122. Its totient is φ = 10202210001120.

The previous prime is 10202210001103. The next prime is 10202210001131. The reversal of 10202210001121 is 12110001220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9830733160000 + 371476841121 = 3135400^2 + 609489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202210001121 - 2³⁵ = 10167850262753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202210001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101105000560 + 5101105000561.

It is an arithmetic number, because the mean of its divisors is an integer number (5101105000561).

Almost surely, 2^{10202210001121} is an apocalyptic number.

It is an amenable number.

10202210001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202210001121 is an equidigital number, since it uses as much as digits as its factorization.

10202210001121 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 10202210001121 its reverse (12110001220201), we get a palindrome (22312211221322).

The spelling of 10202210001121 in words is "ten trillion, two hundred two billion, two hundred ten million, one thousand, one hundred twenty-one".