10201100212129 has 2 divisors, whose sum is σ = 10201100212130. Its totient is φ = 10201100212128.

The previous prime is 10201100212111. The next prime is 10201100212141. The reversal of 10201100212129 is 92121200110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8441901195025 + 1759199017104 = 2905495^2 + 1326348^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201100212129 - 2¹⁹ = 10201099687841 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201100212229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100550106064 + 5100550106065.

It is an arithmetic number, because the mean of its divisors is an integer number (5100550106065).

Almost surely, 2^{10201100212129} is an apocalyptic number.

It is an amenable number.

10201100212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201100212129 is an equidigital number, since it uses as much as digits as its factorization.

10201100212129 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 10201100212129 in words is "ten trillion, two hundred one billion, one hundred million, two hundred twelve thousand, one hundred twenty-nine".