1011011122421 has 2 divisors, whose sum is σ = 1011011122422. Its totient is φ = 1011011122420.

The previous prime is 1011011122411. The next prime is 1011011122423. The reversal of 1011011122421 is 1242211101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 893800068100 + 117211054321 = 945410^2 + 342361^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011011122421 - 2¹⁰ = 1011011121397 is a prime.

It is a Sophie Germain prime.

Together with 1011011122423, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011011122421.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011011122423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505561210 + 505505561211.

It is an arithmetic number, because the mean of its divisors is an integer number (505505561211).

Almost surely, 2^{1011011122421} is an apocalyptic number.

It is an amenable number.

1011011122421 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011122421 is an equidigital number, since it uses as much as digits as its factorization.

1011011122421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1011011122421 its reverse (1242211101101), we get a palindrome (2253222223522).

The spelling of 1011011122421 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, four hundred twenty-one".