1010330023121 has 2 divisors, whose sum is σ = 1010330023122. Its totient is φ = 1010330023120.

The previous prime is 1010330023091. The next prime is 1010330023133. The reversal of 1010330023121 is 1213200330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 977258782096 + 33071241025 = 988564^2 + 181855^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010330023121 - 2¹⁸ = 1010329760977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010330023121.

It is not a weakly prime, because it can be changed into another prime (1010330023721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505165011560 + 505165011561.

It is an arithmetic number, because the mean of its divisors is an integer number (505165011561).

Almost surely, 2^{1010330023121} is an apocalyptic number.

It is an amenable number.

1010330023121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010330023121 is an equidigital number, since it uses as much as digits as its factorization.

1010330023121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1010330023121 its reverse (1213200330101), we get a palindrome (2223530353222).

The spelling of 1010330023121 in words is "one trillion, ten billion, three hundred thirty million, twenty-three thousand, one hundred twenty-one".