1032102553121 has 2 divisors, whose sum is σ = 1032102553122. Its totient is φ = 1032102553120.

The previous prime is 1032102553109. The next prime is 1032102553193. The reversal of 1032102553121 is 1213552012301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 886819607521 + 145282945600 = 941711^2 + 381160^2 .

It is an emirp because it is prime and its reverse (1213552012301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1032102553121 - 2³⁴ = 1014922683937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1032102553021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516051276560 + 516051276561.

It is an arithmetic number, because the mean of its divisors is an integer number (516051276561).

Almost surely, 2^{1032102553121} is an apocalyptic number.

It is an amenable number.

1032102553121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032102553121 is an equidigital number, since it uses as much as digits as its factorization.

1032102553121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 1032102553121 its reverse (1213552012301), we get a palindrome (2245654565422).

The spelling of 1032102553121 in words is "one trillion, thirty-two billion, one hundred two million, five hundred fifty-three thousand, one hundred twenty-one".