1023001312121 has 2 divisors, whose sum is σ = 1023001312122. Its totient is φ = 1023001312120.

The previous prime is 1023001312103. The next prime is 1023001312147. The reversal of 1023001312121 is 1212131003201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009600934521 + 13400377600 = 1004789^2 + 115760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023001312121 - 2¹⁰ = 1023001311097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023001312121.

It is not a weakly prime, because it can be changed into another prime (1023001312721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511500656060 + 511500656061.

It is an arithmetic number, because the mean of its divisors is an integer number (511500656061).

Almost surely, 2^{1023001312121} is an apocalyptic number.

It is an amenable number.

1023001312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023001312121 is an equidigital number, since it uses as much as digits as its factorization.

1023001312121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1023001312121 its reverse (1212131003201), we get a palindrome (2235132315322).

The spelling of 1023001312121 in words is "one trillion, twenty-three billion, one million, three hundred twelve thousand, one hundred twenty-one".