1011233103121 has 2 divisors, whose sum is σ = 1011233103122. Its totient is φ = 1011233103120.

The previous prime is 1011233103109. The next prime is 1011233103137. The reversal of 1011233103121 is 1213013321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010756772496 + 476330625 = 1005364^2 + 21825^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011233103121 - 2²¹ = 1011231005969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011233103151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505616551560 + 505616551561.

It is an arithmetic number, because the mean of its divisors is an integer number (505616551561).

Almost surely, 2^{1011233103121} is an apocalyptic number.

It is an amenable number.

1011233103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011233103121 is an equidigital number, since it uses as much as digits as its factorization.

1011233103121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1011233103121 its reverse (1213013321101), we get a palindrome (2224246424222).

The spelling of 1011233103121 in words is "one trillion, eleven billion, two hundred thirty-three million, one hundred three thousand, one hundred twenty-one".