1020765121 has 2 divisors, whose sum is σ = 1020765122. Its totient is φ = 1020765120.

The previous prime is 1020765103. The next prime is 1020765143. The reversal of 1020765121 is 1215670201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 975875121 + 44890000 = 31239^2 + 6700^2 .

It is an emirp because it is prime and its reverse (1215670201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020765121 - 2²⁹ = 483894209 is a prime.

It is a super-2 number, since 2×1020765121² = 2083922864500289282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020768121) 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, 510382560 + 510382561.

It is an arithmetic number, because the mean of its divisors is an integer number (510382561).

Almost surely, 2^1020765121 is an apocalyptic number.

It is an amenable number.

1020765121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020765121 is an equidigital number, since it uses as much as digits as its factorization.

1020765121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1020765121 is about 31949.4150337686. The cubic root of 1020765121 is about 1006.8743421343.

The spelling of 1020765121 in words is "one billion, twenty million, seven hundred sixty-five thousand, one hundred twenty-one".