1011121221013 has 2 divisors, whose sum is σ = 1011121221014. Its totient is φ = 1011121221012.

The previous prime is 1011121220929. The next prime is 1011121221023. The reversal of 1011121221013 is 3101221211101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583538626609 + 427582594404 = 763897^2 + 653898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011121221013 is a prime.

It is a super-2 number, since 2×1011121221013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011121221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560610506 + 505560610507.

It is an arithmetic number, because the mean of its divisors is an integer number (505560610507).

Almost surely, 2^{1011121221013} is an apocalyptic number.

It is an amenable number.

1011121221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011121221013 is an equidigital number, since it uses as much as digits as its factorization.

1011121221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1011121221013 its reverse (3101221211101), we get a palindrome (4112342432114).

The spelling of 1011121221013 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, thirteen".