10211795361121 has 2 divisors, whose sum is σ = 10211795361122. Its totient is φ = 10211795361120.

The previous prime is 10211795361091. The next prime is 10211795361137. The reversal of 10211795361121 is 12116359711201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5258945111121 + 4952850250000 = 2293239^2 + 2225500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211795361121 - 2⁹ = 10211795360609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211795362121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105897680560 + 5105897680561.

It is an arithmetic number, because the mean of its divisors is an integer number (5105897680561).

Almost surely, 2^{10211795361121} is an apocalyptic number.

It is an amenable number.

10211795361121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211795361121 is an equidigital number, since it uses as much as digits as its factorization.

10211795361121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 40.

The spelling of 10211795361121 in words is "ten trillion, two hundred eleven billion, seven hundred ninety-five million, three hundred sixty-one thousand, one hundred twenty-one".