10201221001129 has 2 divisors, whose sum is σ = 10201221001130. Its totient is φ = 10201221001128.

The previous prime is 10201221001091. The next prime is 10201221001141. The reversal of 10201221001129 is 92110012210201.

10201221001129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8868692461225 + 1332528539904 = 2978035^2 + 1154352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201221001129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201221001729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100610500564 + 5100610500565.

It is an arithmetic number, because the mean of its divisors is an integer number (5100610500565).

Almost surely, 2^{10201221001129} is an apocalyptic number.

It is an amenable number.

10201221001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201221001129 is an equidigital number, since it uses as much as digits as its factorization.

10201221001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10201221001129 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, one thousand, one hundred twenty-nine".