1011121221337 has 2 divisors, whose sum is σ = 1011121221338. Its totient is φ = 1011121221336.

The previous prime is 1011121221199. The next prime is 1011121221343. The reversal of 1011121221337 is 7331221211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753604554816 + 257516666521 = 868104^2 + 507461^2 .

It is an emirp because it is prime and its reverse (7331221211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011121221337 - 2¹⁵ = 1011121188569 is a prime.

It is a super-2 number, since 2×1011121221337² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011121225337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560610668 + 505560610669.

It is an arithmetic number, because the mean of its divisors is an integer number (505560610669).

Almost surely, 2^{1011121221337} is an apocalyptic number.

It is an amenable number.

1011121221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011121221337 is an equidigital number, since it uses as much as digits as its factorization.

1011121221337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 1011121221337 its reverse (7331221211101), we get a palindrome (8342342432438).

The spelling of 1011121221337 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred thirty-seven".