1010101122721 has 2 divisors, whose sum is σ = 1010101122722. Its totient is φ = 1010101122720.

The previous prime is 1010101122707. The next prime is 1010101122727. The reversal of 1010101122721 is 1272211010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760795639696 + 249305483025 = 872236^2 + 499305^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101122721 - 2⁷ = 1010101122593 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010101122727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050561360 + 505050561361.

It is an arithmetic number, because the mean of its divisors is an integer number (505050561361).

Almost surely, 2^{1010101122721} is an apocalyptic number.

It is an amenable number.

1010101122721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101122721 is an equidigital number, since it uses as much as digits as its factorization.

1010101122721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 1010101122721 its reverse (1272211010101), we get a palindrome (2282312132822).

The spelling of 1010101122721 in words is "one trillion, ten billion, one hundred one million, one hundred twenty-two thousand, seven hundred twenty-one".